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Finding the Third Proportional to 468,265.50 and 705,604.50

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Solution

The third proportional to 468,265.50 and 705,604.50 is: 1,063,238.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,265.50 : 705,604.50 = 705,604.50 : x
  2. Step 2: Convert to fraction form
    468,265.50/705,604.50 = 705,604.50/x
  3. Step 3: Cross multiply
    468,265.50x = 705,604.50 × 705,604.50
  4. Step 4: Simplify right side
    468,265.50x = 497,877,710,420.25
  5. Step 5: Solve for x
    x = 497,877,710,420.25/468,265.50
  6. Step 6: Final answer
    x = 1,063,238.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.