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Finding the Third Proportional to 569,116.13 and 761,253.19

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Solution

The third proportional to 569,116.13 and 761,253.19 is: 1,018,256.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,116.13 : 761,253.19 = 761,253.19 : x
  2. Step 2: Convert to fraction form
    569,116.13/761,253.19 = 761,253.19/x
  3. Step 3: Cross multiply
    569,116.13x = 761,253.19 × 761,253.19
  4. Step 4: Simplify right side
    569,116.13x = 579,506,415,478.91
  5. Step 5: Solve for x
    x = 579,506,415,478.91/569,116.13
  6. Step 6: Final answer
    x = 1,018,256.89

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.