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Finding the Third Proportional to 240,411 and 360,652.50

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Solution

The third proportional to 240,411 and 360,652.50 is: 541,032.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,411 : 360,652.50 = 360,652.50 : x
  2. Step 2: Convert to fraction form
    240,411/360,652.50 = 360,652.50/x
  3. Step 3: Cross multiply
    240,411x = 360,652.50 × 360,652.50
  4. Step 4: Simplify right side
    240,411x = 130,070,225,756.25
  5. Step 5: Solve for x
    x = 130,070,225,756.25/240,411
  6. Step 6: Final answer
    x = 541,032.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.