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Finding the Third Proportional to 401,319 and 535,000.50

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Solution

The third proportional to 401,319 and 535,000.50 is: 713,212.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,319 : 535,000.50 = 535,000.50 : x
  2. Step 2: Convert to fraction form
    401,319/535,000.50 = 535,000.50/x
  3. Step 3: Cross multiply
    401,319x = 535,000.50 × 535,000.50
  4. Step 4: Simplify right side
    401,319x = 286,225,535,000.25
  5. Step 5: Solve for x
    x = 286,225,535,000.25/401,319
  6. Step 6: Final answer
    x = 713,212.02

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.