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Finding the Third Proportional to 243,354.38 and 527,775.75

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Solution

The third proportional to 243,354.38 and 527,775.75 is: 1,144,615.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,354.38 : 527,775.75 = 527,775.75 : x
  2. Step 2: Convert to fraction form
    243,354.38/527,775.75 = 527,775.75/x
  3. Step 3: Cross multiply
    243,354.38x = 527,775.75 × 527,775.75
  4. Step 4: Simplify right side
    243,354.38x = 278,547,242,288.06
  5. Step 5: Solve for x
    x = 278,547,242,288.06/243,354.38
  6. Step 6: Final answer
    x = 1,144,615.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.