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Finding the Third Proportional to 480,575,052 and 722,142,182.25

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Solution

The third proportional to 480,575,052 and 722,142,182.25 is: 1,085,136,086.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,575,052 : 722,142,182.25 = 722,142,182.25 : x
  2. Step 2: Convert to fraction form
    480,575,052/722,142,182.25 = 722,142,182.25/x
  3. Step 3: Cross multiply
    480,575,052x = 722,142,182.25 × 722,142,182.25
  4. Step 4: Simplify right side
    480,575,052x = 521,489,331,384,792,192
  5. Step 5: Solve for x
    x = 521,489,331,384,792,192/480,575,052
  6. Step 6: Final answer
    x = 1,085,136,086.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.