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Finding the Third Proportional to 347,502 and 761,442

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Solution

The third proportional to 347,502 and 761,442 is: 1,668,462.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,502 : 761,442 = 761,442 : x
  2. Step 2: Convert to fraction form
    347,502/761,442 = 761,442/x
  3. Step 3: Cross multiply
    347,502x = 761,442 × 761,442
  4. Step 4: Simplify right side
    347,502x = 579,793,919,364
  5. Step 5: Solve for x
    x = 579,793,919,364/347,502
  6. Step 6: Final answer
    x = 1,668,462.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.