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Finding the Third Proportional to 450,030,300 and 676,243,656

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Solution

The third proportional to 450,030,300 and 676,243,656 is: 1,016,165,983.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,030,300 : 676,243,656 = 676,243,656 : x
  2. Step 2: Convert to fraction form
    450,030,300/676,243,656 = 676,243,656/x
  3. Step 3: Cross multiply
    450,030,300x = 676,243,656 × 676,243,656
  4. Step 4: Simplify right side
    450,030,300x = 457,305,482,280,246,336
  5. Step 5: Solve for x
    x = 457,305,482,280,246,336/450,030,300
  6. Step 6: Final answer
    x = 1,016,165,983.22

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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.