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Finding the Third Proportional to 312,556 and 466,776

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Solution

The third proportional to 312,556 and 466,776 is: 697,090.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,556 : 466,776 = 466,776 : x
  2. Step 2: Convert to fraction form
    312,556/466,776 = 466,776/x
  3. Step 3: Cross multiply
    312,556x = 466,776 × 466,776
  4. Step 4: Simplify right side
    312,556x = 217,879,834,176
  5. Step 5: Solve for x
    x = 217,879,834,176/312,556
  6. Step 6: Final answer
    x = 697,090.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.