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Finding the Third Proportional to 578,148 and 889,750

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Solution

The third proportional to 578,148 and 889,750 is: 1,369,294.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,148 : 889,750 = 889,750 : x
  2. Step 2: Convert to fraction form
    578,148/889,750 = 889,750/x
  3. Step 3: Cross multiply
    578,148x = 889,750 × 889,750
  4. Step 4: Simplify right side
    578,148x = 791,655,062,500
  5. Step 5: Solve for x
    x = 791,655,062,500/578,148
  6. Step 6: Final answer
    x = 1,369,294.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.