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Finding the Third Proportional to 237,430.69 and 499,465.13

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Solution

The third proportional to 237,430.69 and 499,465.13 is: 1,050,687.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,430.69 : 499,465.13 = 499,465.13 : x
  2. Step 2: Convert to fraction form
    237,430.69/499,465.13 = 499,465.13/x
  3. Step 3: Cross multiply
    237,430.69x = 499,465.13 × 499,465.13
  4. Step 4: Simplify right side
    237,430.69x = 249,465,411,091.27
  5. Step 5: Solve for x
    x = 249,465,411,091.27/237,430.69
  6. Step 6: Final answer
    x = 1,050,687.31

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.