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Finding the Third Proportional to 454,085,397 and 701,554,675.50

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Solution

The third proportional to 454,085,397 and 701,554,675.50 is: 1,083,890,752.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,085,397 : 701,554,675.50 = 701,554,675.50 : x
  2. Step 2: Convert to fraction form
    454,085,397/701,554,675.50 = 701,554,675.50/x
  3. Step 3: Cross multiply
    454,085,397x = 701,554,675.50 × 701,554,675.50
  4. Step 4: Simplify right side
    454,085,397x = 492,178,962,715,910,272
  5. Step 5: Solve for x
    x = 492,178,962,715,910,272/454,085,397
  6. Step 6: Final answer
    x = 1,083,890,752.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.