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Finding the Third Proportional to 577,668.90 and 898,005.43

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Solution

The third proportional to 577,668.90 and 898,005.43 is: 1,395,979.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,668.90 : 898,005.43 = 898,005.43 : x
  2. Step 2: Convert to fraction form
    577,668.90/898,005.43 = 898,005.43/x
  3. Step 3: Cross multiply
    577,668.90x = 898,005.43 × 898,005.43
  4. Step 4: Simplify right side
    577,668.90x = 806,413,756,133.01
  5. Step 5: Solve for x
    x = 806,413,756,133.01/577,668.90
  6. Step 6: Final answer
    x = 1,395,979.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.