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Finding the Third Proportional to 307,010 and 473,636

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Solution

The third proportional to 307,010 and 473,636 is: 730,696.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,010 : 473,636 = 473,636 : x
  2. Step 2: Convert to fraction form
    307,010/473,636 = 473,636/x
  3. Step 3: Cross multiply
    307,010x = 473,636 × 473,636
  4. Step 4: Simplify right side
    307,010x = 224,331,060,496
  5. Step 5: Solve for x
    x = 224,331,060,496/307,010
  6. Step 6: Final answer
    x = 730,696.27

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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.