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Finding the Third Proportional to 280,045,856.25 and 404,583,065.25

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Solution

The third proportional to 280,045,856.25 and 404,583,065.25 is: 584,502,334.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,045,856.25 : 404,583,065.25 = 404,583,065.25 : x
  2. Step 2: Convert to fraction form
    280,045,856.25/404,583,065.25 = 404,583,065.25/x
  3. Step 3: Cross multiply
    280,045,856.25x = 404,583,065.25 × 404,583,065.25
  4. Step 4: Simplify right side
    280,045,856.25x = 163,687,456,687,085,760
  5. Step 5: Solve for x
    x = 163,687,456,687,085,760/280,045,856.25
  6. Step 6: Final answer
    x = 584,502,334.29

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.