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Finding the Third Proportional to 347,555 and 537,293

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Solution

The third proportional to 347,555 and 537,293 is: 830,613.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,555 : 537,293 = 537,293 : x
  2. Step 2: Convert to fraction form
    347,555/537,293 = 537,293/x
  3. Step 3: Cross multiply
    347,555x = 537,293 × 537,293
  4. Step 4: Simplify right side
    347,555x = 288,683,767,849
  5. Step 5: Solve for x
    x = 288,683,767,849/347,555
  6. Step 6: Final answer
    x = 830,613.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.