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Finding the Third Proportional to 560,304 and 1,295,784

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Solution

The third proportional to 560,304 and 1,295,784 is: 2,996,687.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,304 : 1,295,784 = 1,295,784 : x
  2. Step 2: Convert to fraction form
    560,304/1,295,784 = 1,295,784/x
  3. Step 3: Cross multiply
    560,304x = 1,295,784 × 1,295,784
  4. Step 4: Simplify right side
    560,304x = 1,679,056,174,656
  5. Step 5: Solve for x
    x = 1,679,056,174,656/560,304
  6. Step 6: Final answer
    x = 2,996,687.82

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.