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Finding the Third Proportional to 348,423 and 738,712.88

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Solution

The third proportional to 348,423 and 738,712.88 is: 1,566,190.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,423 : 738,712.88 = 738,712.88 : x
  2. Step 2: Convert to fraction form
    348,423/738,712.88 = 738,712.88/x
  3. Step 3: Cross multiply
    348,423x = 738,712.88 × 738,712.88
  4. Step 4: Simplify right side
    348,423x = 545,696,711,690.77
  5. Step 5: Solve for x
    x = 545,696,711,690.77/348,423
  6. Step 6: Final answer
    x = 1,566,190.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.