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Finding the Third Proportional to 473,491.50 and 710,785.50

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Solution

The third proportional to 473,491.50 and 710,785.50 is: 1,067,001.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,491.50 : 710,785.50 = 710,785.50 : x
  2. Step 2: Convert to fraction form
    473,491.50/710,785.50 = 710,785.50/x
  3. Step 3: Cross multiply
    473,491.50x = 710,785.50 × 710,785.50
  4. Step 4: Simplify right side
    473,491.50x = 505,216,027,010.25
  5. Step 5: Solve for x
    x = 505,216,027,010.25/473,491.50
  6. Step 6: Final answer
    x = 1,067,001.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.