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Finding the Third Proportional to 298,024 and 646,507

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Solution

The third proportional to 298,024 and 646,507 is: 1,402,475.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,024 : 646,507 = 646,507 : x
  2. Step 2: Convert to fraction form
    298,024/646,507 = 646,507/x
  3. Step 3: Cross multiply
    298,024x = 646,507 × 646,507
  4. Step 4: Simplify right side
    298,024x = 417,971,301,049
  5. Step 5: Solve for x
    x = 417,971,301,049/298,024
  6. Step 6: Final answer
    x = 1,402,475.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.