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Finding the Third Proportional to 306,730 and 656,106

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Solution

The third proportional to 306,730 and 656,106 is: 1,403,433.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,730 : 656,106 = 656,106 : x
  2. Step 2: Convert to fraction form
    306,730/656,106 = 656,106/x
  3. Step 3: Cross multiply
    306,730x = 656,106 × 656,106
  4. Step 4: Simplify right side
    306,730x = 430,475,083,236
  5. Step 5: Solve for x
    x = 430,475,083,236/306,730
  6. Step 6: Final answer
    x = 1,403,433.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.