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Finding the Third Proportional to 314,585,986.50 and 488,441,862

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Solution

The third proportional to 314,585,986.50 and 488,441,862 is: 758,379,148.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,585,986.50 : 488,441,862 = 488,441,862 : x
  2. Step 2: Convert to fraction form
    314,585,986.50/488,441,862 = 488,441,862/x
  3. Step 3: Cross multiply
    314,585,986.50x = 488,441,862 × 488,441,862
  4. Step 4: Simplify right side
    314,585,986.50x = 238,575,452,554,027,040
  5. Step 5: Solve for x
    x = 238,575,452,554,027,040/314,585,986.50
  6. Step 6: Final answer
    x = 758,379,148.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.