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Finding the Third Proportional to 507,259 and 759,282

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Solution

The third proportional to 507,259 and 759,282 is: 1,136,518.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,259 : 759,282 = 759,282 : x
  2. Step 2: Convert to fraction form
    507,259/759,282 = 759,282/x
  3. Step 3: Cross multiply
    507,259x = 759,282 × 759,282
  4. Step 4: Simplify right side
    507,259x = 576,509,155,524
  5. Step 5: Solve for x
    x = 576,509,155,524/507,259
  6. Step 6: Final answer
    x = 1,136,518.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.