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Finding the Third Proportional to 472,666.64 and 716,136.19

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Solution

The third proportional to 472,666.64 and 716,136.19 is: 1,085,016.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,666.64 : 716,136.19 = 716,136.19 : x
  2. Step 2: Convert to fraction form
    472,666.64/716,136.19 = 716,136.19/x
  3. Step 3: Cross multiply
    472,666.64x = 716,136.19 × 716,136.19
  4. Step 4: Simplify right side
    472,666.64x = 512,851,039,047.04
  5. Step 5: Solve for x
    x = 512,851,039,047.04/472,666.64
  6. Step 6: Final answer
    x = 1,085,016.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.