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Finding the Third Proportional to 523,996 and 785,184

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Solution

The third proportional to 523,996 and 785,184 is: 1,176,562.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,996 : 785,184 = 785,184 : x
  2. Step 2: Convert to fraction form
    523,996/785,184 = 785,184/x
  3. Step 3: Cross multiply
    523,996x = 785,184 × 785,184
  4. Step 4: Simplify right side
    523,996x = 616,513,913,856
  5. Step 5: Solve for x
    x = 616,513,913,856/523,996
  6. Step 6: Final answer
    x = 1,176,562.25

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Why These Related Problems?

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