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Finding the Third Proportional to 541,588 and 842,363

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Solution

The third proportional to 541,588 and 842,363 is: 1,310,175.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,588 : 842,363 = 842,363 : x
  2. Step 2: Convert to fraction form
    541,588/842,363 = 842,363/x
  3. Step 3: Cross multiply
    541,588x = 842,363 × 842,363
  4. Step 4: Simplify right side
    541,588x = 709,575,423,769
  5. Step 5: Solve for x
    x = 709,575,423,769/541,588
  6. Step 6: Final answer
    x = 1,310,175.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.