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Finding the Third Proportional to 555,464 and 829,562

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Solution

The third proportional to 555,464 and 829,562 is: 1,238,915.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,464 : 829,562 = 829,562 : x
  2. Step 2: Convert to fraction form
    555,464/829,562 = 829,562/x
  3. Step 3: Cross multiply
    555,464x = 829,562 × 829,562
  4. Step 4: Simplify right side
    555,464x = 688,173,111,844
  5. Step 5: Solve for x
    x = 688,173,111,844/555,464
  6. Step 6: Final answer
    x = 1,238,915.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.