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Finding the Third Proportional to 506,455.03 and 772,545.09

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Solution

The third proportional to 506,455.03 and 772,545.09 is: 1,178,438.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,455.03 : 772,545.09 = 772,545.09 : x
  2. Step 2: Convert to fraction form
    506,455.03/772,545.09 = 772,545.09/x
  3. Step 3: Cross multiply
    506,455.03x = 772,545.09 × 772,545.09
  4. Step 4: Simplify right side
    506,455.03x = 596,825,921,877.20
  5. Step 5: Solve for x
    x = 596,825,921,877.20/506,455.03
  6. Step 6: Final answer
    x = 1,178,438.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.