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Finding the Third Proportional to 381,746,323.13 and 583,713,042.75

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Solution

The third proportional to 381,746,323.13 and 583,713,042.75 is: 892,532,280.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,746,323.13 : 583,713,042.75 = 583,713,042.75 : x
  2. Step 2: Convert to fraction form
    381,746,323.13/583,713,042.75 = 583,713,042.75/x
  3. Step 3: Cross multiply
    381,746,323.13x = 583,713,042.75 × 583,713,042.75
  4. Step 4: Simplify right side
    381,746,323.13x = 340,720,916,276,463,296
  5. Step 5: Solve for x
    x = 340,720,916,276,463,296/381,746,323.13
  6. Step 6: Final answer
    x = 892,532,280.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.