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Finding the Third Proportional to 448,047 and 709,805.25

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Solution

The third proportional to 448,047 and 709,805.25 is: 1,124,488.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,047 : 709,805.25 = 709,805.25 : x
  2. Step 2: Convert to fraction form
    448,047/709,805.25 = 709,805.25/x
  3. Step 3: Cross multiply
    448,047x = 709,805.25 × 709,805.25
  4. Step 4: Simplify right side
    448,047x = 503,823,492,927.56
  5. Step 5: Solve for x
    x = 503,823,492,927.56/448,047
  6. Step 6: Final answer
    x = 1,124,488.04

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