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Finding the Third Proportional to 578,029 and 920,550

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Solution

The third proportional to 578,029 and 920,550 is: 1,466,037.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,029 : 920,550 = 920,550 : x
  2. Step 2: Convert to fraction form
    578,029/920,550 = 920,550/x
  3. Step 3: Cross multiply
    578,029x = 920,550 × 920,550
  4. Step 4: Simplify right side
    578,029x = 847,412,302,500
  5. Step 5: Solve for x
    x = 847,412,302,500/578,029
  6. Step 6: Final answer
    x = 1,466,037.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.