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Finding the Third Proportional to 390,561.75 and 592,403.63

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Solution

The third proportional to 390,561.75 and 592,403.63 is: 898,557.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,561.75 : 592,403.63 = 592,403.63 : x
  2. Step 2: Convert to fraction form
    390,561.75/592,403.63 = 592,403.63/x
  3. Step 3: Cross multiply
    390,561.75x = 592,403.63 × 592,403.63
  4. Step 4: Simplify right side
    390,561.75x = 350,942,054,913.14
  5. Step 5: Solve for x
    x = 350,942,054,913.14/390,561.75
  6. Step 6: Final answer
    x = 898,557.15

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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.