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Finding the Third Proportional to 265,712,880.50 and 374,019,235.50

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Solution

The third proportional to 265,712,880.50 and 374,019,235.50 is: 526,471,988.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,712,880.50 : 374,019,235.50 = 374,019,235.50 : x
  2. Step 2: Convert to fraction form
    265,712,880.50/374,019,235.50 = 374,019,235.50/x
  3. Step 3: Cross multiply
    265,712,880.50x = 374,019,235.50 × 374,019,235.50
  4. Step 4: Simplify right side
    265,712,880.50x = 139,890,388,524,004,464
  5. Step 5: Solve for x
    x = 139,890,388,524,004,464/265,712,880.50
  6. Step 6: Final answer
    x = 526,471,988.34

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.