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Finding the Third Proportional to 426,232 and 710,286

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Solution

The third proportional to 426,232 and 710,286 is: 1,183,642.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,232 : 710,286 = 710,286 : x
  2. Step 2: Convert to fraction form
    426,232/710,286 = 710,286/x
  3. Step 3: Cross multiply
    426,232x = 710,286 × 710,286
  4. Step 4: Simplify right side
    426,232x = 504,506,201,796
  5. Step 5: Solve for x
    x = 504,506,201,796/426,232
  6. Step 6: Final answer
    x = 1,183,642.25

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.