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Finding the Third Proportional to 235,426,196 and 506,832,674

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Solution

The third proportional to 235,426,196 and 506,832,674 is: 1,091,124,793.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,426,196 : 506,832,674 = 506,832,674 : x
  2. Step 2: Convert to fraction form
    235,426,196/506,832,674 = 506,832,674/x
  3. Step 3: Cross multiply
    235,426,196x = 506,832,674 × 506,832,674
  4. Step 4: Simplify right side
    235,426,196x = 256,879,359,433,990,272
  5. Step 5: Solve for x
    x = 256,879,359,433,990,272/235,426,196
  6. Step 6: Final answer
    x = 1,091,124,793.24

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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.