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Finding the Third Proportional to 307,122 and 473,803

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Solution

The third proportional to 307,122 and 473,803 is: 730,944.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,122 : 473,803 = 473,803 : x
  2. Step 2: Convert to fraction form
    307,122/473,803 = 473,803/x
  3. Step 3: Cross multiply
    307,122x = 473,803 × 473,803
  4. Step 4: Simplify right side
    307,122x = 224,489,282,809
  5. Step 5: Solve for x
    x = 224,489,282,809/307,122
  6. Step 6: Final answer
    x = 730,944.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.