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Finding the Third Proportional to 255,506 and 537,496

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Solution

The third proportional to 255,506 and 537,496 is: 1,130,705.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,506 : 537,496 = 537,496 : x
  2. Step 2: Convert to fraction form
    255,506/537,496 = 537,496/x
  3. Step 3: Cross multiply
    255,506x = 537,496 × 537,496
  4. Step 4: Simplify right side
    255,506x = 288,901,950,016
  5. Step 5: Solve for x
    x = 288,901,950,016/255,506
  6. Step 6: Final answer
    x = 1,130,705.15

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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.