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Finding the Third Proportional to 356,481 and 761,076

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Solution

The third proportional to 356,481 and 761,076 is: 1,624,873.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,481 : 761,076 = 761,076 : x
  2. Step 2: Convert to fraction form
    356,481/761,076 = 761,076/x
  3. Step 3: Cross multiply
    356,481x = 761,076 × 761,076
  4. Step 4: Simplify right side
    356,481x = 579,236,677,776
  5. Step 5: Solve for x
    x = 579,236,677,776/356,481
  6. Step 6: Final answer
    x = 1,624,873.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.