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Finding the Third Proportional to 402,823.13 and 564,686.44

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Solution

The third proportional to 402,823.13 and 564,686.44 is: 791,590.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,823.13 : 564,686.44 = 564,686.44 : x
  2. Step 2: Convert to fraction form
    402,823.13/564,686.44 = 564,686.44/x
  3. Step 3: Cross multiply
    402,823.13x = 564,686.44 × 564,686.44
  4. Step 4: Simplify right side
    402,823.13x = 318,870,772,696.44
  5. Step 5: Solve for x
    x = 318,870,772,696.44/402,823.13
  6. Step 6: Final answer
    x = 791,590.04

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.