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Finding the Third Proportional to 349,332 and 711,508.50

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Solution

The third proportional to 349,332 and 711,508.50 is: 1,449,178.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,332 : 711,508.50 = 711,508.50 : x
  2. Step 2: Convert to fraction form
    349,332/711,508.50 = 711,508.50/x
  3. Step 3: Cross multiply
    349,332x = 711,508.50 × 711,508.50
  4. Step 4: Simplify right side
    349,332x = 506,244,345,572.25
  5. Step 5: Solve for x
    x = 506,244,345,572.25/349,332
  6. Step 6: Final answer
    x = 1,449,178.28

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.