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Finding the Third Proportional to 470,412 and 716,670

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Solution

The third proportional to 470,412 and 716,670 is: 1,091,842.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,412 : 716,670 = 716,670 : x
  2. Step 2: Convert to fraction form
    470,412/716,670 = 716,670/x
  3. Step 3: Cross multiply
    470,412x = 716,670 × 716,670
  4. Step 4: Simplify right side
    470,412x = 513,615,888,900
  5. Step 5: Solve for x
    x = 513,615,888,900/470,412
  6. Step 6: Final answer
    x = 1,091,842.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.