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Finding the Third Proportional to 572,058 and 841,563

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Solution

The third proportional to 572,058 and 841,563 is: 1,238,035.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,058 : 841,563 = 841,563 : x
  2. Step 2: Convert to fraction form
    572,058/841,563 = 841,563/x
  3. Step 3: Cross multiply
    572,058x = 841,563 × 841,563
  4. Step 4: Simplify right side
    572,058x = 708,228,282,969
  5. Step 5: Solve for x
    x = 708,228,282,969/572,058
  6. Step 6: Final answer
    x = 1,238,035.80

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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.