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Finding the Third Proportional to 448,047 and 709,806

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Solution

The third proportional to 448,047 and 709,806 is: 1,124,490.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,047 : 709,806 = 709,806 : x
  2. Step 2: Convert to fraction form
    448,047/709,806 = 709,806/x
  3. Step 3: Cross multiply
    448,047x = 709,806 × 709,806
  4. Step 4: Simplify right side
    448,047x = 503,824,557,636
  5. Step 5: Solve for x
    x = 503,824,557,636/448,047
  6. Step 6: Final answer
    x = 1,124,490.42

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.