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Finding the Third Proportional to 617,913 and 935,583.75

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Solution

The third proportional to 617,913 and 935,583.75 is: 1,416,569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,913 : 935,583.75 = 935,583.75 : x
  2. Step 2: Convert to fraction form
    617,913/935,583.75 = 935,583.75/x
  3. Step 3: Cross multiply
    617,913x = 935,583.75 × 935,583.75
  4. Step 4: Simplify right side
    617,913x = 875,316,953,264.06
  5. Step 5: Solve for x
    x = 875,316,953,264.06/617,913
  6. Step 6: Final answer
    x = 1,416,569.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.