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Finding the Third Proportional to 355,209.50 and 760,962.50

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Solution

The third proportional to 355,209.50 and 760,962.50 is: 1,630,203.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,209.50 : 760,962.50 = 760,962.50 : x
  2. Step 2: Convert to fraction form
    355,209.50/760,962.50 = 760,962.50/x
  3. Step 3: Cross multiply
    355,209.50x = 760,962.50 × 760,962.50
  4. Step 4: Simplify right side
    355,209.50x = 579,063,926,406.25
  5. Step 5: Solve for x
    x = 579,063,926,406.25/355,209.50
  6. Step 6: Final answer
    x = 1,630,203.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.