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Finding the Third Proportional to 528,827 and 794,402

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Solution

The third proportional to 528,827 and 794,402 is: 1,193,347.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,827 : 794,402 = 794,402 : x
  2. Step 2: Convert to fraction form
    528,827/794,402 = 794,402/x
  3. Step 3: Cross multiply
    528,827x = 794,402 × 794,402
  4. Step 4: Simplify right side
    528,827x = 631,074,537,604
  5. Step 5: Solve for x
    x = 631,074,537,604/528,827
  6. Step 6: Final answer
    x = 1,193,347.80

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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.