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Finding the Third Proportional to 473,848 and 716,412

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Solution

The third proportional to 473,848 and 716,412 is: 1,083,145.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,848 : 716,412 = 716,412 : x
  2. Step 2: Convert to fraction form
    473,848/716,412 = 716,412/x
  3. Step 3: Cross multiply
    473,848x = 716,412 × 716,412
  4. Step 4: Simplify right side
    473,848x = 513,246,153,744
  5. Step 5: Solve for x
    x = 513,246,153,744/473,848
  6. Step 6: Final answer
    x = 1,083,145.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.