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Finding the Third Proportional to 502,767 and 1,071,308

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Solution

The third proportional to 502,767 and 1,071,308 is: 2,282,768.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,767 : 1,071,308 = 1,071,308 : x
  2. Step 2: Convert to fraction form
    502,767/1,071,308 = 1,071,308/x
  3. Step 3: Cross multiply
    502,767x = 1,071,308 × 1,071,308
  4. Step 4: Simplify right side
    502,767x = 1,147,700,830,864
  5. Step 5: Solve for x
    x = 1,147,700,830,864/502,767
  6. Step 6: Final answer
    x = 2,282,768.82

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.