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Finding the Third Proportional to 560,304 and 841,029.75

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Solution

The third proportional to 560,304 and 841,029.75 is: 1,262,405.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,304 : 841,029.75 = 841,029.75 : x
  2. Step 2: Convert to fraction form
    560,304/841,029.75 = 841,029.75/x
  3. Step 3: Cross multiply
    560,304x = 841,029.75 × 841,029.75
  4. Step 4: Simplify right side
    560,304x = 707,331,040,385.06
  5. Step 5: Solve for x
    x = 707,331,040,385.06/560,304
  6. Step 6: Final answer
    x = 1,262,405.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.