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Finding the Third Proportional to 298,926,974 and 420,771,617

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Solution

The third proportional to 298,926,974 and 420,771,617 is: 592,280,955.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,926,974 : 420,771,617 = 420,771,617 : x
  2. Step 2: Convert to fraction form
    298,926,974/420,771,617 = 420,771,617/x
  3. Step 3: Cross multiply
    298,926,974x = 420,771,617 × 420,771,617
  4. Step 4: Simplify right side
    298,926,974x = 177,048,753,672,794,688
  5. Step 5: Solve for x
    x = 177,048,753,672,794,688/298,926,974
  6. Step 6: Final answer
    x = 592,280,955.12

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.