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Finding the Third Proportional to 374,756.63 and 492,024.38

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Solution

The third proportional to 374,756.63 and 492,024.38 is: 645,987.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,756.63 : 492,024.38 = 492,024.38 : x
  2. Step 2: Convert to fraction form
    374,756.63/492,024.38 = 492,024.38/x
  3. Step 3: Cross multiply
    374,756.63x = 492,024.38 × 492,024.38
  4. Step 4: Simplify right side
    374,756.63x = 242,087,985,594.14
  5. Step 5: Solve for x
    x = 242,087,985,594.14/374,756.63
  6. Step 6: Final answer
    x = 645,987.21

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.