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Finding the Third Proportional to 448,702.13 and 960,475.13

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Solution

The third proportional to 448,702.13 and 960,475.13 is: 2,055,957.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,702.13 : 960,475.13 = 960,475.13 : x
  2. Step 2: Convert to fraction form
    448,702.13/960,475.13 = 960,475.13/x
  3. Step 3: Cross multiply
    448,702.13x = 960,475.13 × 960,475.13
  4. Step 4: Simplify right side
    448,702.13x = 922,512,465,743.77
  5. Step 5: Solve for x
    x = 922,512,465,743.77/448,702.13
  6. Step 6: Final answer
    x = 2,055,957.43

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.