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Finding the Third Proportional to 448,501 and 713,211.50

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Solution

The third proportional to 448,501 and 713,211.50 is: 1,134,157.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,501 : 713,211.50 = 713,211.50 : x
  2. Step 2: Convert to fraction form
    448,501/713,211.50 = 713,211.50/x
  3. Step 3: Cross multiply
    448,501x = 713,211.50 × 713,211.50
  4. Step 4: Simplify right side
    448,501x = 508,670,643,732.25
  5. Step 5: Solve for x
    x = 508,670,643,732.25/448,501
  6. Step 6: Final answer
    x = 1,134,157.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.