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Finding the Third Proportional to 480,982 and 761,582

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Solution

The third proportional to 480,982 and 761,582 is: 1,205,881.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,982 : 761,582 = 761,582 : x
  2. Step 2: Convert to fraction form
    480,982/761,582 = 761,582/x
  3. Step 3: Cross multiply
    480,982x = 761,582 × 761,582
  4. Step 4: Simplify right side
    480,982x = 580,007,142,724
  5. Step 5: Solve for x
    x = 580,007,142,724/480,982
  6. Step 6: Final answer
    x = 1,205,881.18

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.