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Finding the Third Proportional to 572,444 and 841,160

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Solution

The third proportional to 572,444 and 841,160 is: 1,236,016.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,444 : 841,160 = 841,160 : x
  2. Step 2: Convert to fraction form
    572,444/841,160 = 841,160/x
  3. Step 3: Cross multiply
    572,444x = 841,160 × 841,160
  4. Step 4: Simplify right side
    572,444x = 707,550,145,600
  5. Step 5: Solve for x
    x = 707,550,145,600/572,444
  6. Step 6: Final answer
    x = 1,236,016.35

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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.