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Finding the Third Proportional to 448,776.75 and 972,322.50

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Solution

The third proportional to 448,776.75 and 972,322.50 is: 2,106,639.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,776.75 : 972,322.50 = 972,322.50 : x
  2. Step 2: Convert to fraction form
    448,776.75/972,322.50 = 972,322.50/x
  3. Step 3: Cross multiply
    448,776.75x = 972,322.50 × 972,322.50
  4. Step 4: Simplify right side
    448,776.75x = 945,411,044,006.25
  5. Step 5: Solve for x
    x = 945,411,044,006.25/448,776.75
  6. Step 6: Final answer
    x = 2,106,639.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.