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Finding the Third Proportional to 291,229,498 and 623,347,776

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Solution

The third proportional to 291,229,498 and 623,347,776 is: 1,334,213,918.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,229,498 : 623,347,776 = 623,347,776 : x
  2. Step 2: Convert to fraction form
    291,229,498/623,347,776 = 623,347,776/x
  3. Step 3: Cross multiply
    291,229,498x = 623,347,776 × 623,347,776
  4. Step 4: Simplify right side
    291,229,498x = 388,562,449,844,146,176
  5. Step 5: Solve for x
    x = 388,562,449,844,146,176/291,229,498
  6. Step 6: Final answer
    x = 1,334,213,918.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.