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Finding the Third Proportional to 255,509 and 537,478

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Solution

The third proportional to 255,509 and 537,478 is: 1,130,616.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,509 : 537,478 = 537,478 : x
  2. Step 2: Convert to fraction form
    255,509/537,478 = 537,478/x
  3. Step 3: Cross multiply
    255,509x = 537,478 × 537,478
  4. Step 4: Simplify right side
    255,509x = 288,882,600,484
  5. Step 5: Solve for x
    x = 288,882,600,484/255,509
  6. Step 6: Final answer
    x = 1,130,616.14

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.