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Finding the Third Proportional to 340,348 and 708,700

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Solution

The third proportional to 340,348 and 708,700 is: 1,475,712.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,348 : 708,700 = 708,700 : x
  2. Step 2: Convert to fraction form
    340,348/708,700 = 708,700/x
  3. Step 3: Cross multiply
    340,348x = 708,700 × 708,700
  4. Step 4: Simplify right side
    340,348x = 502,255,690,000
  5. Step 5: Solve for x
    x = 502,255,690,000/340,348
  6. Step 6: Final answer
    x = 1,475,712.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.