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Finding the Third Proportional to 332,547 and 487,029

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Solution

The third proportional to 332,547 and 487,029 is: 713,274.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,547 : 487,029 = 487,029 : x
  2. Step 2: Convert to fraction form
    332,547/487,029 = 487,029/x
  3. Step 3: Cross multiply
    332,547x = 487,029 × 487,029
  4. Step 4: Simplify right side
    332,547x = 237,197,246,841
  5. Step 5: Solve for x
    x = 237,197,246,841/332,547
  6. Step 6: Final answer
    x = 713,274.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.