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Finding the Third Proportional to 390,845.09 and 583,966.91

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Solution

The third proportional to 390,845.09 and 583,966.91 is: 872,512.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,845.09 : 583,966.91 = 583,966.91 : x
  2. Step 2: Convert to fraction form
    390,845.09/583,966.91 = 583,966.91/x
  3. Step 3: Cross multiply
    390,845.09x = 583,966.91 × 583,966.91
  4. Step 4: Simplify right side
    390,845.09x = 341,017,351,302.04
  5. Step 5: Solve for x
    x = 341,017,351,302.04/390,845.09
  6. Step 6: Final answer
    x = 872,512.82

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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.