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Finding the Third Proportional to 470,223 and 705,321

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Solution

The third proportional to 470,223 and 705,321 is: 1,057,961.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,223 : 705,321 = 705,321 : x
  2. Step 2: Convert to fraction form
    470,223/705,321 = 705,321/x
  3. Step 3: Cross multiply
    470,223x = 705,321 × 705,321
  4. Step 4: Simplify right side
    470,223x = 497,477,713,041
  5. Step 5: Solve for x
    x = 497,477,713,041/470,223
  6. Step 6: Final answer
    x = 1,057,961.25

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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.