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Finding the Third Proportional to 255,484 and 537,426

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Solution

The third proportional to 255,484 and 537,426 is: 1,130,508.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,484 : 537,426 = 537,426 : x
  2. Step 2: Convert to fraction form
    255,484/537,426 = 537,426/x
  3. Step 3: Cross multiply
    255,484x = 537,426 × 537,426
  4. Step 4: Simplify right side
    255,484x = 288,826,705,476
  5. Step 5: Solve for x
    x = 288,826,705,476/255,484
  6. Step 6: Final answer
    x = 1,130,508.00

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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.