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Finding the Third Proportional to 553,686.75 and 841,728.38

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Solution

The third proportional to 553,686.75 and 841,728.38 is: 1,279,616.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,686.75 : 841,728.38 = 841,728.38 : x
  2. Step 2: Convert to fraction form
    553,686.75/841,728.38 = 841,728.38/x
  3. Step 3: Cross multiply
    553,686.75x = 841,728.38 × 841,728.38
  4. Step 4: Simplify right side
    553,686.75x = 708,506,657,280.14
  5. Step 5: Solve for x
    x = 708,506,657,280.14/553,686.75
  6. Step 6: Final answer
    x = 1,279,616.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.