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Finding the Third Proportional to 382,340,479.78 and 590,400,612.84

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Solution

The third proportional to 382,340,479.78 and 590,400,612.84 is: 911,681,870.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,340,479.78 : 590,400,612.84 = 590,400,612.84 : x
  2. Step 2: Convert to fraction form
    382,340,479.78/590,400,612.84 = 590,400,612.84/x
  3. Step 3: Cross multiply
    382,340,479.78x = 590,400,612.84 × 590,400,612.84
  4. Step 4: Simplify right side
    382,340,479.78x = 348,572,883,646,275,584
  5. Step 5: Solve for x
    x = 348,572,883,646,275,584/382,340,479.78
  6. Step 6: Final answer
    x = 911,681,870.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.