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Finding the Third Proportional to 335,644 and 710,168

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Solution

The third proportional to 335,644 and 710,168 is: 1,502,599.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,644 : 710,168 = 710,168 : x
  2. Step 2: Convert to fraction form
    335,644/710,168 = 710,168/x
  3. Step 3: Cross multiply
    335,644x = 710,168 × 710,168
  4. Step 4: Simplify right side
    335,644x = 504,338,588,224
  5. Step 5: Solve for x
    x = 504,338,588,224/335,644
  6. Step 6: Final answer
    x = 1,502,599.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.