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Finding the Third Proportional to 528,900 and 794,506

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Solution

The third proportional to 528,900 and 794,506 is: 1,193,495.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,900 : 794,506 = 794,506 : x
  2. Step 2: Convert to fraction form
    528,900/794,506 = 794,506/x
  3. Step 3: Cross multiply
    528,900x = 794,506 × 794,506
  4. Step 4: Simplify right side
    528,900x = 631,239,784,036
  5. Step 5: Solve for x
    x = 631,239,784,036/528,900
  6. Step 6: Final answer
    x = 1,193,495.53

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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.