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Finding the Third Proportional to 255,627 and 537,688.50

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Solution

The third proportional to 255,627 and 537,688.50 is: 1,130,979.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,627 : 537,688.50 = 537,688.50 : x
  2. Step 2: Convert to fraction form
    255,627/537,688.50 = 537,688.50/x
  3. Step 3: Cross multiply
    255,627x = 537,688.50 × 537,688.50
  4. Step 4: Simplify right side
    255,627x = 289,108,923,032.25
  5. Step 5: Solve for x
    x = 289,108,923,032.25/255,627
  6. Step 6: Final answer
    x = 1,130,979.60

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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.