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Finding the Third Proportional to 658,332 and 983,184

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Solution

The third proportional to 658,332 and 983,184 is: 1,468,333.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,332 : 983,184 = 983,184 : x
  2. Step 2: Convert to fraction form
    658,332/983,184 = 983,184/x
  3. Step 3: Cross multiply
    658,332x = 983,184 × 983,184
  4. Step 4: Simplify right side
    658,332x = 966,650,777,856
  5. Step 5: Solve for x
    x = 966,650,777,856/658,332
  6. Step 6: Final answer
    x = 1,468,333.27

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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.