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Finding the Third Proportional to 315,658.13 and 473,851.69

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Solution

The third proportional to 315,658.13 and 473,851.69 is: 711,324.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,658.13 : 473,851.69 = 473,851.69 : x
  2. Step 2: Convert to fraction form
    315,658.13/473,851.69 = 473,851.69/x
  3. Step 3: Cross multiply
    315,658.13x = 473,851.69 × 473,851.69
  4. Step 4: Simplify right side
    315,658.13x = 224,535,421,746.60
  5. Step 5: Solve for x
    x = 224,535,421,746.60/315,658.13
  6. Step 6: Final answer
    x = 711,324.70

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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.