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Finding the Third Proportional to 335,624 and 710,128

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Solution

The third proportional to 335,624 and 710,128 is: 1,502,520.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,624 : 710,128 = 710,128 : x
  2. Step 2: Convert to fraction form
    335,624/710,128 = 710,128/x
  3. Step 3: Cross multiply
    335,624x = 710,128 × 710,128
  4. Step 4: Simplify right side
    335,624x = 504,281,776,384
  5. Step 5: Solve for x
    x = 504,281,776,384/335,624
  6. Step 6: Final answer
    x = 1,502,520.01

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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.