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Finding the Third Proportional to 402,590.25 and 553,721.06

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Solution

The third proportional to 402,590.25 and 553,721.06 is: 761,585.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,590.25 : 553,721.06 = 553,721.06 : x
  2. Step 2: Convert to fraction form
    402,590.25/553,721.06 = 553,721.06/x
  3. Step 3: Cross multiply
    402,590.25x = 553,721.06 × 553,721.06
  4. Step 4: Simplify right side
    402,590.25x = 306,607,015,056.13
  5. Step 5: Solve for x
    x = 306,607,015,056.13/402,590.25
  6. Step 6: Final answer
    x = 761,585.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.