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Finding the Third Proportional to 577,404 and 907,038

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Solution

The third proportional to 577,404 and 907,038 is: 1,424,856.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,404 : 907,038 = 907,038 : x
  2. Step 2: Convert to fraction form
    577,404/907,038 = 907,038/x
  3. Step 3: Cross multiply
    577,404x = 907,038 × 907,038
  4. Step 4: Simplify right side
    577,404x = 822,717,933,444
  5. Step 5: Solve for x
    x = 822,717,933,444/577,404
  6. Step 6: Final answer
    x = 1,424,856.66

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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.