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Finding the Third Proportional to 788,498.93 and 1,235,296.20

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Solution

The third proportional to 788,498.93 and 1,235,296.20 is: 1,935,267.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,498.93 : 1,235,296.20 = 1,235,296.20 : x
  2. Step 2: Convert to fraction form
    788,498.93/1,235,296.20 = 1,235,296.20/x
  3. Step 3: Cross multiply
    788,498.93x = 1,235,296.20 × 1,235,296.20
  4. Step 4: Simplify right side
    788,498.93x = 1,525,956,690,153.54
  5. Step 5: Solve for x
    x = 1,525,956,690,153.54/788,498.93
  6. Step 6: Final answer
    x = 1,935,267.93

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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.