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Finding the Third Proportional to 467,312 and 732,114

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Solution

The third proportional to 467,312 and 732,114 is: 1,146,965.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,312 : 732,114 = 732,114 : x
  2. Step 2: Convert to fraction form
    467,312/732,114 = 732,114/x
  3. Step 3: Cross multiply
    467,312x = 732,114 × 732,114
  4. Step 4: Simplify right side
    467,312x = 535,990,908,996
  5. Step 5: Solve for x
    x = 535,990,908,996/467,312
  6. Step 6: Final answer
    x = 1,146,965.86

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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.