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Finding the Third Proportional to 528,957 and 743,266.13

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Solution

The third proportional to 528,957 and 743,266.13 is: 1,044,403.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,957 : 743,266.13 = 743,266.13 : x
  2. Step 2: Convert to fraction form
    528,957/743,266.13 = 743,266.13/x
  3. Step 3: Cross multiply
    528,957x = 743,266.13 × 743,266.13
  4. Step 4: Simplify right side
    528,957x = 552,444,532,572.52
  5. Step 5: Solve for x
    x = 552,444,532,572.52/528,957
  6. Step 6: Final answer
    x = 1,044,403.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.