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Finding the Third Proportional to 472,710 and 709,407

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Solution

The third proportional to 472,710 and 709,407 is: 1,064,623.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,710 : 709,407 = 709,407 : x
  2. Step 2: Convert to fraction form
    472,710/709,407 = 709,407/x
  3. Step 3: Cross multiply
    472,710x = 709,407 × 709,407
  4. Step 4: Simplify right side
    472,710x = 503,258,291,649
  5. Step 5: Solve for x
    x = 503,258,291,649/472,710
  6. Step 6: Final answer
    x = 1,064,623.75

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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.