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Finding the Third Proportional to 298,686,420 and 468,550,436

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Solution

The third proportional to 298,686,420 and 468,550,436 is: 735,016,714.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,686,420 : 468,550,436 = 468,550,436 : x
  2. Step 2: Convert to fraction form
    298,686,420/468,550,436 = 468,550,436/x
  3. Step 3: Cross multiply
    298,686,420x = 468,550,436 × 468,550,436
  4. Step 4: Simplify right side
    298,686,420x = 219,539,511,075,790,080
  5. Step 5: Solve for x
    x = 219,539,511,075,790,080/298,686,420
  6. Step 6: Final answer
    x = 735,016,714.44

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.