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Finding the Third Proportional to 572,840 and 841,712

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Solution

The third proportional to 572,840 and 841,712 is: 1,236,783.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,840 : 841,712 = 841,712 : x
  2. Step 2: Convert to fraction form
    572,840/841,712 = 841,712/x
  3. Step 3: Cross multiply
    572,840x = 841,712 × 841,712
  4. Step 4: Simplify right side
    572,840x = 708,479,090,944
  5. Step 5: Solve for x
    x = 708,479,090,944/572,840
  6. Step 6: Final answer
    x = 1,236,783.55

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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.