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Finding the Third Proportional to 448,798.50 and 968,931

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Solution

The third proportional to 448,798.50 and 968,931 is: 2,091,868.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,798.50 : 968,931 = 968,931 : x
  2. Step 2: Convert to fraction form
    448,798.50/968,931 = 968,931/x
  3. Step 3: Cross multiply
    448,798.50x = 968,931 × 968,931
  4. Step 4: Simplify right side
    448,798.50x = 938,827,282,761
  5. Step 5: Solve for x
    x = 938,827,282,761/448,798.50
  6. Step 6: Final answer
    x = 2,091,868.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.