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Finding the Third Proportional to 492,058 and 803,475

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Solution

The third proportional to 492,058 and 803,475 is: 1,311,983.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,058 : 803,475 = 803,475 : x
  2. Step 2: Convert to fraction form
    492,058/803,475 = 803,475/x
  3. Step 3: Cross multiply
    492,058x = 803,475 × 803,475
  4. Step 4: Simplify right side
    492,058x = 645,572,075,625
  5. Step 5: Solve for x
    x = 645,572,075,625/492,058
  6. Step 6: Final answer
    x = 1,311,983.70

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.