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Finding the Third Proportional to 329,994,468 and 725,884,596

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Solution

The third proportional to 329,994,468 and 725,884,596 is: 1,596,719,029.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,994,468 : 725,884,596 = 725,884,596 : x
  2. Step 2: Convert to fraction form
    329,994,468/725,884,596 = 725,884,596/x
  3. Step 3: Cross multiply
    329,994,468x = 725,884,596 × 725,884,596
  4. Step 4: Simplify right side
    329,994,468x = 526,908,446,710,083,200
  5. Step 5: Solve for x
    x = 526,908,446,710,083,200/329,994,468
  6. Step 6: Final answer
    x = 1,596,719,029.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.