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Finding the Third Proportional to 572,816 and 841,680

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Solution

The third proportional to 572,816 and 841,680 is: 1,236,741.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,816 : 841,680 = 841,680 : x
  2. Step 2: Convert to fraction form
    572,816/841,680 = 841,680/x
  3. Step 3: Cross multiply
    572,816x = 841,680 × 841,680
  4. Step 4: Simplify right side
    572,816x = 708,425,222,400
  5. Step 5: Solve for x
    x = 708,425,222,400/572,816
  6. Step 6: Final answer
    x = 1,236,741.33

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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.