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Finding the Third Proportional to 648,529.03 and 1,030,530.73

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Solution

The third proportional to 648,529.03 and 1,030,530.73 is: 1,637,542.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,529.03 : 1,030,530.73 = 1,030,530.73 : x
  2. Step 2: Convert to fraction form
    648,529.03/1,030,530.73 = 1,030,530.73/x
  3. Step 3: Cross multiply
    648,529.03x = 1,030,530.73 × 1,030,530.73
  4. Step 4: Simplify right side
    648,529.03x = 1,061,993,578,389.43
  5. Step 5: Solve for x
    x = 1,061,993,578,389.43/648,529.03
  6. Step 6: Final answer
    x = 1,637,542.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.