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Finding the Third Proportional to 357,386,843.25 and 774,118,296

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Solution

The third proportional to 357,386,843.25 and 774,118,296 is: 1,676,780,070.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,386,843.25 : 774,118,296 = 774,118,296 : x
  2. Step 2: Convert to fraction form
    357,386,843.25/774,118,296 = 774,118,296/x
  3. Step 3: Cross multiply
    357,386,843.25x = 774,118,296 × 774,118,296
  4. Step 4: Simplify right side
    357,386,843.25x = 599,259,136,201,943,552
  5. Step 5: Solve for x
    x = 599,259,136,201,943,552/357,386,843.25
  6. Step 6: Final answer
    x = 1,676,780,070.45

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.