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Finding the Third Proportional to 708,070.50 and 1,067,981.63

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Solution

The third proportional to 708,070.50 and 1,067,981.63 is: 1,610,835.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,070.50 : 1,067,981.63 = 1,067,981.63 : x
  2. Step 2: Convert to fraction form
    708,070.50/1,067,981.63 = 1,067,981.63/x
  3. Step 3: Cross multiply
    708,070.50x = 1,067,981.63 × 1,067,981.63
  4. Step 4: Simplify right side
    708,070.50x = 1,140,584,751,337.64
  5. Step 5: Solve for x
    x = 1,140,584,751,337.64/708,070.50
  6. Step 6: Final answer
    x = 1,610,835.01

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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.