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Finding the Third Proportional to 382,340,466 and 590,400,559.13

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Solution

The third proportional to 382,340,466 and 590,400,559.13 is: 911,681,737.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,340,466 : 590,400,559.13 = 590,400,559.13 : x
  2. Step 2: Convert to fraction form
    382,340,466/590,400,559.13 = 590,400,559.13/x
  3. Step 3: Cross multiply
    382,340,466x = 590,400,559.13 × 590,400,559.13
  4. Step 4: Simplify right side
    382,340,466x = 348,572,820,215,112,640
  5. Step 5: Solve for x
    x = 348,572,820,215,112,640/382,340,466
  6. Step 6: Final answer
    x = 911,681,737.12

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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.