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Finding the Third Proportional to 255,521 and 537,522

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Solution

The third proportional to 255,521 and 537,522 is: 1,130,748.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,521 : 537,522 = 537,522 : x
  2. Step 2: Convert to fraction form
    255,521/537,522 = 537,522/x
  3. Step 3: Cross multiply
    255,521x = 537,522 × 537,522
  4. Step 4: Simplify right side
    255,521x = 288,929,900,484
  5. Step 5: Solve for x
    x = 288,929,900,484/255,521
  6. Step 6: Final answer
    x = 1,130,748.16

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Why These Related Problems?

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