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Finding the Third Proportional to 265,656,578.50 and 416,699,024.50

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Solution

The third proportional to 265,656,578.50 and 416,699,024.50 is: 653,618,585.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,656,578.50 : 416,699,024.50 = 416,699,024.50 : x
  2. Step 2: Convert to fraction form
    265,656,578.50/416,699,024.50 = 416,699,024.50/x
  3. Step 3: Cross multiply
    265,656,578.50x = 416,699,024.50 × 416,699,024.50
  4. Step 4: Simplify right side
    265,656,578.50x = 173,638,077,019,251,616
  5. Step 5: Solve for x
    x = 173,638,077,019,251,616/265,656,578.50
  6. Step 6: Final answer
    x = 653,618,585.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.