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Finding the Third Proportional to 573,882 and 842,391

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Solution

The third proportional to 573,882 and 842,391 is: 1,236,530.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,882 : 842,391 = 842,391 : x
  2. Step 2: Convert to fraction form
    573,882/842,391 = 842,391/x
  3. Step 3: Cross multiply
    573,882x = 842,391 × 842,391
  4. Step 4: Simplify right side
    573,882x = 709,622,596,881
  5. Step 5: Solve for x
    x = 709,622,596,881/573,882
  6. Step 6: Final answer
    x = 1,236,530.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.