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Finding the Third Proportional to 306,904 and 656,445

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Solution

The third proportional to 306,904 and 656,445 is: 1,404,087.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,904 : 656,445 = 656,445 : x
  2. Step 2: Convert to fraction form
    306,904/656,445 = 656,445/x
  3. Step 3: Cross multiply
    306,904x = 656,445 × 656,445
  4. Step 4: Simplify right side
    306,904x = 430,920,038,025
  5. Step 5: Solve for x
    x = 430,920,038,025/306,904
  6. Step 6: Final answer
    x = 1,404,087.40

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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.