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Finding the Third Proportional to 261,076,284 and 391,614,426

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Solution

The third proportional to 261,076,284 and 391,614,426 is: 587,421,639

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,076,284 : 391,614,426 = 391,614,426 : x
  2. Step 2: Convert to fraction form
    261,076,284/391,614,426 = 391,614,426/x
  3. Step 3: Cross multiply
    261,076,284x = 391,614,426 × 391,614,426
  4. Step 4: Simplify right side
    261,076,284x = 153,361,858,651,309,472
  5. Step 5: Solve for x
    x = 153,361,858,651,309,472/261,076,284
  6. Step 6: Final answer
    x = 587,421,639

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.