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Finding the Third Proportional to 429,272 and 679,582

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Solution

The third proportional to 429,272 and 679,582 is: 1,075,848.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,272 : 679,582 = 679,582 : x
  2. Step 2: Convert to fraction form
    429,272/679,582 = 679,582/x
  3. Step 3: Cross multiply
    429,272x = 679,582 × 679,582
  4. Step 4: Simplify right side
    429,272x = 461,831,694,724
  5. Step 5: Solve for x
    x = 461,831,694,724/429,272
  6. Step 6: Final answer
    x = 1,075,848.63

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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.