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Finding the Third Proportional to 572,314.50 and 911,017.13

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Solution

The third proportional to 572,314.50 and 911,017.13 is: 1,450,168.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,314.50 : 911,017.13 = 911,017.13 : x
  2. Step 2: Convert to fraction form
    572,314.50/911,017.13 = 911,017.13/x
  3. Step 3: Cross multiply
    572,314.50x = 911,017.13 × 911,017.13
  4. Step 4: Simplify right side
    572,314.50x = 829,952,202,043.27
  5. Step 5: Solve for x
    x = 829,952,202,043.27/572,314.50
  6. Step 6: Final answer
    x = 1,450,168.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.