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Finding the Third Proportional to 582,050 and 869,490

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Solution

The third proportional to 582,050 and 869,490 is: 1,298,879.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,050 : 869,490 = 869,490 : x
  2. Step 2: Convert to fraction form
    582,050/869,490 = 869,490/x
  3. Step 3: Cross multiply
    582,050x = 869,490 × 869,490
  4. Step 4: Simplify right side
    582,050x = 756,012,860,100
  5. Step 5: Solve for x
    x = 756,012,860,100/582,050
  6. Step 6: Final answer
    x = 1,298,879.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.