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Finding the Third Proportional to 607,593 and 683,044.50

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Solution

The third proportional to 607,593 and 683,044.50 is: 767,865.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,593 : 683,044.50 = 683,044.50 : x
  2. Step 2: Convert to fraction form
    607,593/683,044.50 = 683,044.50/x
  3. Step 3: Cross multiply
    607,593x = 683,044.50 × 683,044.50
  4. Step 4: Simplify right side
    607,593x = 466,549,788,980.25
  5. Step 5: Solve for x
    x = 466,549,788,980.25/607,593
  6. Step 6: Final answer
    x = 767,865.64

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.