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Finding the Third Proportional to 295,732 and 463,312

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Solution

The third proportional to 295,732 and 463,312 is: 725,853.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,732 : 463,312 = 463,312 : x
  2. Step 2: Convert to fraction form
    295,732/463,312 = 463,312/x
  3. Step 3: Cross multiply
    295,732x = 463,312 × 463,312
  4. Step 4: Simplify right side
    295,732x = 214,658,009,344
  5. Step 5: Solve for x
    x = 214,658,009,344/295,732
  6. Step 6: Final answer
    x = 725,853.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.