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Finding the Third Proportional to 688,300.03 and 765,801.84

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Solution

The third proportional to 688,300.03 and 765,801.84 is: 852,030.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,300.03 : 765,801.84 = 765,801.84 : x
  2. Step 2: Convert to fraction form
    688,300.03/765,801.84 = 765,801.84/x
  3. Step 3: Cross multiply
    688,300.03x = 765,801.84 × 765,801.84
  4. Step 4: Simplify right side
    688,300.03x = 586,452,463,890.90
  5. Step 5: Solve for x
    x = 586,452,463,890.90/688,300.03
  6. Step 6: Final answer
    x = 852,030.27

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.