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Finding the Third Proportional to 495,578.25 and 715,473

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Solution

The third proportional to 495,578.25 and 715,473 is: 1,032,938.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,578.25 : 715,473 = 715,473 : x
  2. Step 2: Convert to fraction form
    495,578.25/715,473 = 715,473/x
  3. Step 3: Cross multiply
    495,578.25x = 715,473 × 715,473
  4. Step 4: Simplify right side
    495,578.25x = 511,901,613,729
  5. Step 5: Solve for x
    x = 511,901,613,729/495,578.25
  6. Step 6: Final answer
    x = 1,032,938.01

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.