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Finding the Third Proportional to 235,953,040 and 490,741,280

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Solution

The third proportional to 235,953,040 and 490,741,280 is: 1,020,656,499.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,953,040 : 490,741,280 = 490,741,280 : x
  2. Step 2: Convert to fraction form
    235,953,040/490,741,280 = 490,741,280/x
  3. Step 3: Cross multiply
    235,953,040x = 490,741,280 × 490,741,280
  4. Step 4: Simplify right side
    235,953,040x = 240,827,003,896,038,400
  5. Step 5: Solve for x
    x = 240,827,003,896,038,400/235,953,040
  6. Step 6: Final answer
    x = 1,020,656,499.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.