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Finding the Third Proportional to 240,315,489 and 493,370,730

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Solution

The third proportional to 240,315,489 and 493,370,730 is: 1,012,896,331.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,315,489 : 493,370,730 = 493,370,730 : x
  2. Step 2: Convert to fraction form
    240,315,489/493,370,730 = 493,370,730/x
  3. Step 3: Cross multiply
    240,315,489x = 493,370,730 × 493,370,730
  4. Step 4: Simplify right side
    240,315,489x = 243,414,677,220,732,896
  5. Step 5: Solve for x
    x = 243,414,677,220,732,896/240,315,489
  6. Step 6: Final answer
    x = 1,012,896,331.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.