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Finding the Third Proportional to 235,426,199 and 506,832,678

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Solution

The third proportional to 235,426,199 and 506,832,678 is: 1,091,124,796.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,426,199 : 506,832,678 = 506,832,678 : x
  2. Step 2: Convert to fraction form
    235,426,199/506,832,678 = 506,832,678/x
  3. Step 3: Cross multiply
    235,426,199x = 506,832,678 × 506,832,678
  4. Step 4: Simplify right side
    235,426,199x = 256,879,363,488,651,680
  5. Step 5: Solve for x
    x = 256,879,363,488,651,680/235,426,199
  6. Step 6: Final answer
    x = 1,091,124,796.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.