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Finding the Third Proportional to 290,711,871 and 436,280,424

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Solution

The third proportional to 290,711,871 and 436,280,424 is: 654,739,717.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,711,871 : 436,280,424 = 436,280,424 : x
  2. Step 2: Convert to fraction form
    290,711,871/436,280,424 = 436,280,424/x
  3. Step 3: Cross multiply
    290,711,871x = 436,280,424 × 436,280,424
  4. Step 4: Simplify right side
    290,711,871x = 190,340,608,365,619,776
  5. Step 5: Solve for x
    x = 190,340,608,365,619,776/290,711,871
  6. Step 6: Final answer
    x = 654,739,717.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.