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Finding the Third Proportional to 450,556 and 608,174

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Solution

The third proportional to 450,556 and 608,174 is: 820,931.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,556 : 608,174 = 608,174 : x
  2. Step 2: Convert to fraction form
    450,556/608,174 = 608,174/x
  3. Step 3: Cross multiply
    450,556x = 608,174 × 608,174
  4. Step 4: Simplify right side
    450,556x = 369,875,614,276
  5. Step 5: Solve for x
    x = 369,875,614,276/450,556
  6. Step 6: Final answer
    x = 820,931.50

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.