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Finding the Third Proportional to 478,970 and 798,254

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Solution

The third proportional to 478,970 and 798,254 is: 1,330,374.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,970 : 798,254 = 798,254 : x
  2. Step 2: Convert to fraction form
    478,970/798,254 = 798,254/x
  3. Step 3: Cross multiply
    478,970x = 798,254 × 798,254
  4. Step 4: Simplify right side
    478,970x = 637,209,448,516
  5. Step 5: Solve for x
    x = 637,209,448,516/478,970
  6. Step 6: Final answer
    x = 1,330,374.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.