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Finding the Third Proportional to 416,390,883 and 646,824,325.50

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Solution

The third proportional to 416,390,883 and 646,824,325.50 is: 1,004,781,144.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,390,883 : 646,824,325.50 = 646,824,325.50 : x
  2. Step 2: Convert to fraction form
    416,390,883/646,824,325.50 = 646,824,325.50/x
  3. Step 3: Cross multiply
    416,390,883x = 646,824,325.50 × 646,824,325.50
  4. Step 4: Simplify right side
    416,390,883x = 418,381,708,058,529,920
  5. Step 5: Solve for x
    x = 418,381,708,058,529,920/416,390,883
  6. Step 6: Final answer
    x = 1,004,781,144.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.