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Finding the Third Proportional to 479,521 and 715,998

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Solution

The third proportional to 479,521 and 715,998 is: 1,069,094.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,521 : 715,998 = 715,998 : x
  2. Step 2: Convert to fraction form
    479,521/715,998 = 715,998/x
  3. Step 3: Cross multiply
    479,521x = 715,998 × 715,998
  4. Step 4: Simplify right side
    479,521x = 512,653,136,004
  5. Step 5: Solve for x
    x = 512,653,136,004/479,521
  6. Step 6: Final answer
    x = 1,069,094.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.