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Finding the Third Proportional to 705,017.04 and 1,059,088.92

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Solution

The third proportional to 705,017.04 and 1,059,088.92 is: 1,590,981.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,017.04 : 1,059,088.92 = 1,059,088.92 : x
  2. Step 2: Convert to fraction form
    705,017.04/1,059,088.92 = 1,059,088.92/x
  3. Step 3: Cross multiply
    705,017.04x = 1,059,088.92 × 1,059,088.92
  4. Step 4: Simplify right side
    705,017.04x = 1,121,669,344,438.35
  5. Step 5: Solve for x
    x = 1,121,669,344,438.35/705,017.04
  6. Step 6: Final answer
    x = 1,590,981.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.