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Finding the Third Proportional to 572,598 and 841,401

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Solution

The third proportional to 572,598 and 841,401 is: 1,236,392.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,598 : 841,401 = 841,401 : x
  2. Step 2: Convert to fraction form
    572,598/841,401 = 841,401/x
  3. Step 3: Cross multiply
    572,598x = 841,401 × 841,401
  4. Step 4: Simplify right side
    572,598x = 707,955,642,801
  5. Step 5: Solve for x
    x = 707,955,642,801/572,598
  6. Step 6: Final answer
    x = 1,236,392.10

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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.