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Finding the Third Proportional to 470,375 and 706,623

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Solution

The third proportional to 470,375 and 706,623 is: 1,061,527.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,375 : 706,623 = 706,623 : x
  2. Step 2: Convert to fraction form
    470,375/706,623 = 706,623/x
  3. Step 3: Cross multiply
    470,375x = 706,623 × 706,623
  4. Step 4: Simplify right side
    470,375x = 499,316,064,129
  5. Step 5: Solve for x
    x = 499,316,064,129/470,375
  6. Step 6: Final answer
    x = 1,061,527.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.