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Finding the Third Proportional to 528,810 and 794,385

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Solution

The third proportional to 528,810 and 794,385 is: 1,193,335.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,810 : 794,385 = 794,385 : x
  2. Step 2: Convert to fraction form
    528,810/794,385 = 794,385/x
  3. Step 3: Cross multiply
    528,810x = 794,385 × 794,385
  4. Step 4: Simplify right side
    528,810x = 631,047,528,225
  5. Step 5: Solve for x
    x = 631,047,528,225/528,810
  6. Step 6: Final answer
    x = 1,193,335.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.