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Finding the Third Proportional to 577,406.50 and 907,042

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Solution

The third proportional to 577,406.50 and 907,042 is: 1,424,863.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,406.50 : 907,042 = 907,042 : x
  2. Step 2: Convert to fraction form
    577,406.50/907,042 = 907,042/x
  3. Step 3: Cross multiply
    577,406.50x = 907,042 × 907,042
  4. Step 4: Simplify right side
    577,406.50x = 822,725,189,764
  5. Step 5: Solve for x
    x = 822,725,189,764/577,406.50
  6. Step 6: Final answer
    x = 1,424,863.06

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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.