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Finding the Third Proportional to 581,104.13 and 779,392.13

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Solution

The third proportional to 581,104.13 and 779,392.13 is: 1,045,341.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,104.13 : 779,392.13 = 779,392.13 : x
  2. Step 2: Convert to fraction form
    581,104.13/779,392.13 = 779,392.13/x
  3. Step 3: Cross multiply
    581,104.13x = 779,392.13 × 779,392.13
  4. Step 4: Simplify right side
    581,104.13x = 607,452,084,512.02
  5. Step 5: Solve for x
    x = 607,452,084,512.02/581,104.13
  6. Step 6: Final answer
    x = 1,045,341.20

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Why These Related Problems?

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