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Finding the Third Proportional to 315,798 and 472,737

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Solution

The third proportional to 315,798 and 472,737 is: 707,668.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,798 : 472,737 = 472,737 : x
  2. Step 2: Convert to fraction form
    315,798/472,737 = 472,737/x
  3. Step 3: Cross multiply
    315,798x = 472,737 × 472,737
  4. Step 4: Simplify right side
    315,798x = 223,480,271,169
  5. Step 5: Solve for x
    x = 223,480,271,169/315,798
  6. Step 6: Final answer
    x = 707,668.42

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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.