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Finding the Third Proportional to 357,275 and 772,870

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Solution

The third proportional to 357,275 and 772,870 is: 1,671,899.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,275 : 772,870 = 772,870 : x
  2. Step 2: Convert to fraction form
    357,275/772,870 = 772,870/x
  3. Step 3: Cross multiply
    357,275x = 772,870 × 772,870
  4. Step 4: Simplify right side
    357,275x = 597,328,036,900
  5. Step 5: Solve for x
    x = 597,328,036,900/357,275
  6. Step 6: Final answer
    x = 1,671,899.90

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.