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Finding the Third Proportional to 528,870 and 794,457

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Solution

The third proportional to 528,870 and 794,457 is: 1,193,416.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,870 : 794,457 = 794,457 : x
  2. Step 2: Convert to fraction form
    528,870/794,457 = 794,457/x
  3. Step 3: Cross multiply
    528,870x = 794,457 × 794,457
  4. Step 4: Simplify right side
    528,870x = 631,161,924,849
  5. Step 5: Solve for x
    x = 631,161,924,849/528,870
  6. Step 6: Final answer
    x = 1,193,416.01

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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.