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Finding the Third Proportional to 595,824 and 899,304

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Solution

The third proportional to 595,824 and 899,304 is: 1,357,360.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,824 : 899,304 = 899,304 : x
  2. Step 2: Convert to fraction form
    595,824/899,304 = 899,304/x
  3. Step 3: Cross multiply
    595,824x = 899,304 × 899,304
  4. Step 4: Simplify right side
    595,824x = 808,747,684,416
  5. Step 5: Solve for x
    x = 808,747,684,416/595,824
  6. Step 6: Final answer
    x = 1,357,360.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.