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Finding the Third Proportional to 567,820.13 and 872,776.13

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Solution

The third proportional to 567,820.13 and 872,776.13 is: 1,341,513.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,820.13 : 872,776.13 = 872,776.13 : x
  2. Step 2: Convert to fraction form
    567,820.13/872,776.13 = 872,776.13/x
  3. Step 3: Cross multiply
    567,820.13x = 872,776.13 × 872,776.13
  4. Step 4: Simplify right side
    567,820.13x = 761,738,164,370.02
  5. Step 5: Solve for x
    x = 761,738,164,370.02/567,820.13
  6. Step 6: Final answer
    x = 1,341,513.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.