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Finding the Third Proportional to 385,254 and 566,730

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Solution

The third proportional to 385,254 and 566,730 is: 833,691.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,254 : 566,730 = 566,730 : x
  2. Step 2: Convert to fraction form
    385,254/566,730 = 566,730/x
  3. Step 3: Cross multiply
    385,254x = 566,730 × 566,730
  4. Step 4: Simplify right side
    385,254x = 321,182,892,900
  5. Step 5: Solve for x
    x = 321,182,892,900/385,254
  6. Step 6: Final answer
    x = 833,691.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.