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Finding the Third Proportional to 255,607.50 and 537,655.50

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Solution

The third proportional to 255,607.50 and 537,655.50 is: 1,130,927.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,607.50 : 537,655.50 = 537,655.50 : x
  2. Step 2: Convert to fraction form
    255,607.50/537,655.50 = 537,655.50/x
  3. Step 3: Cross multiply
    255,607.50x = 537,655.50 × 537,655.50
  4. Step 4: Simplify right side
    255,607.50x = 289,073,436,680.25
  5. Step 5: Solve for x
    x = 289,073,436,680.25/255,607.50
  6. Step 6: Final answer
    x = 1,130,927.05

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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.