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Finding the Third Proportional to 321,038 and 497,787

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Solution

The third proportional to 321,038 and 497,787 is: 771,846.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,038 : 497,787 = 497,787 : x
  2. Step 2: Convert to fraction form
    321,038/497,787 = 497,787/x
  3. Step 3: Cross multiply
    321,038x = 497,787 × 497,787
  4. Step 4: Simplify right side
    321,038x = 247,791,897,369
  5. Step 5: Solve for x
    x = 247,791,897,369/321,038
  6. Step 6: Final answer
    x = 771,846.00

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.