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Finding the Third Proportional to 262,340,941 and 392,065,561.50

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Solution

The third proportional to 262,340,941 and 392,065,561.50 is: 585,937,535.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,340,941 : 392,065,561.50 = 392,065,561.50 : x
  2. Step 2: Convert to fraction form
    262,340,941/392,065,561.50 = 392,065,561.50/x
  3. Step 3: Cross multiply
    262,340,941x = 392,065,561.50 × 392,065,561.50
  4. Step 4: Simplify right side
    262,340,941x = 153,715,404,514,310,272
  5. Step 5: Solve for x
    x = 153,715,404,514,310,272/262,340,941
  6. Step 6: Final answer
    x = 585,937,535.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.