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Finding the Third Proportional to 472,398.50 and 717,345.75

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Solution

The third proportional to 472,398.50 and 717,345.75 is: 1,089,302.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,398.50 : 717,345.75 = 717,345.75 : x
  2. Step 2: Convert to fraction form
    472,398.50/717,345.75 = 717,345.75/x
  3. Step 3: Cross multiply
    472,398.50x = 717,345.75 × 717,345.75
  4. Step 4: Simplify right side
    472,398.50x = 514,584,925,043.06
  5. Step 5: Solve for x
    x = 514,584,925,043.06/472,398.50
  6. Step 6: Final answer
    x = 1,089,302.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.