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Finding the Third Proportional to 366,229,377 and 512,267,485.50

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Solution

The third proportional to 366,229,377 and 512,267,485.50 is: 716,539,942.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,229,377 : 512,267,485.50 = 512,267,485.50 : x
  2. Step 2: Convert to fraction form
    366,229,377/512,267,485.50 = 512,267,485.50/x
  3. Step 3: Cross multiply
    366,229,377x = 512,267,485.50 × 512,267,485.50
  4. Step 4: Simplify right side
    366,229,377x = 262,417,976,700,492,704
  5. Step 5: Solve for x
    x = 262,417,976,700,492,704/366,229,377
  6. Step 6: Final answer
    x = 716,539,942.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.