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Finding the Third Proportional to 278,083,714.50 and 420,704,596.50

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Solution

The third proportional to 278,083,714.50 and 420,704,596.50 is: 636,471,495.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,083,714.50 : 420,704,596.50 = 420,704,596.50 : x
  2. Step 2: Convert to fraction form
    278,083,714.50/420,704,596.50 = 420,704,596.50/x
  3. Step 3: Cross multiply
    278,083,714.50x = 420,704,596.50 × 420,704,596.50
  4. Step 4: Simplify right side
    278,083,714.50x = 176,992,357,516,227,808
  5. Step 5: Solve for x
    x = 176,992,357,516,227,808/278,083,714.50
  6. Step 6: Final answer
    x = 636,471,495.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.