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Finding the Third Proportional to 658,334 and 983,187

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Solution

The third proportional to 658,334 and 983,187 is: 1,468,337.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,334 : 983,187 = 983,187 : x
  2. Step 2: Convert to fraction form
    658,334/983,187 = 983,187/x
  3. Step 3: Cross multiply
    658,334x = 983,187 × 983,187
  4. Step 4: Simplify right side
    658,334x = 966,656,676,969
  5. Step 5: Solve for x
    x = 966,656,676,969/658,334
  6. Step 6: Final answer
    x = 1,468,337.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.