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Finding the Third Proportional to 255,503 and 537,466

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Solution

The third proportional to 255,503 and 537,466 is: 1,130,592.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,503 : 537,466 = 537,466 : x
  2. Step 2: Convert to fraction form
    255,503/537,466 = 537,466/x
  3. Step 3: Cross multiply
    255,503x = 537,466 × 537,466
  4. Step 4: Simplify right side
    255,503x = 288,869,701,156
  5. Step 5: Solve for x
    x = 288,869,701,156/255,503
  6. Step 6: Final answer
    x = 1,130,592.21

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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.