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Finding the Third Proportional to 595,524 and 922,359

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Solution

The third proportional to 595,524 and 922,359 is: 1,428,567.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,524 : 922,359 = 922,359 : x
  2. Step 2: Convert to fraction form
    595,524/922,359 = 922,359/x
  3. Step 3: Cross multiply
    595,524x = 922,359 × 922,359
  4. Step 4: Simplify right side
    595,524x = 850,746,124,881
  5. Step 5: Solve for x
    x = 850,746,124,881/595,524
  6. Step 6: Final answer
    x = 1,428,567.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.