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Finding the Third Proportional to 534,444 and 802,362

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Solution

The third proportional to 534,444 and 802,362 is: 1,204,587.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,444 : 802,362 = 802,362 : x
  2. Step 2: Convert to fraction form
    534,444/802,362 = 802,362/x
  3. Step 3: Cross multiply
    534,444x = 802,362 × 802,362
  4. Step 4: Simplify right side
    534,444x = 643,784,779,044
  5. Step 5: Solve for x
    x = 643,784,779,044/534,444
  6. Step 6: Final answer
    x = 1,204,587.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.