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Finding the Third Proportional to 326,712.50 and 707,714.50

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Solution

The third proportional to 326,712.50 and 707,714.50 is: 1,533,029.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,712.50 : 707,714.50 = 707,714.50 : x
  2. Step 2: Convert to fraction form
    326,712.50/707,714.50 = 707,714.50/x
  3. Step 3: Cross multiply
    326,712.50x = 707,714.50 × 707,714.50
  4. Step 4: Simplify right side
    326,712.50x = 500,859,813,510.25
  5. Step 5: Solve for x
    x = 500,859,813,510.25/326,712.50
  6. Step 6: Final answer
    x = 1,533,029.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.