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Finding the Third Proportional to 371,034,234 and 772,588,206

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Solution

The third proportional to 371,034,234 and 772,588,206 is: 1,608,726,315.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,034,234 : 772,588,206 = 772,588,206 : x
  2. Step 2: Convert to fraction form
    371,034,234/772,588,206 = 772,588,206/x
  3. Step 3: Cross multiply
    371,034,234x = 772,588,206 × 772,588,206
  4. Step 4: Simplify right side
    371,034,234x = 596,892,536,050,298,496
  5. Step 5: Solve for x
    x = 596,892,536,050,298,496/371,034,234
  6. Step 6: Final answer
    x = 1,608,726,315.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.