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Finding the Third Proportional to 602,291.50 and 802,956.50

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Solution

The third proportional to 602,291.50 and 802,956.50 is: 1,070,476.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,291.50 : 802,956.50 = 802,956.50 : x
  2. Step 2: Convert to fraction form
    602,291.50/802,956.50 = 802,956.50/x
  3. Step 3: Cross multiply
    602,291.50x = 802,956.50 × 802,956.50
  4. Step 4: Simplify right side
    602,291.50x = 644,739,140,892.25
  5. Step 5: Solve for x
    x = 644,739,140,892.25/602,291.50
  6. Step 6: Final answer
    x = 1,070,476.91

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.