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Finding the Third Proportional to 287,497,314 and 469,407,616

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Solution

The third proportional to 287,497,314 and 469,407,616 is: 766,419,368.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,497,314 : 469,407,616 = 469,407,616 : x
  2. Step 2: Convert to fraction form
    287,497,314/469,407,616 = 469,407,616/x
  3. Step 3: Cross multiply
    287,497,314x = 469,407,616 × 469,407,616
  4. Step 4: Simplify right side
    287,497,314x = 220,343,509,958,803,456
  5. Step 5: Solve for x
    x = 220,343,509,958,803,456/287,497,314
  6. Step 6: Final answer
    x = 766,419,368.91

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.