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Finding the Third Proportional to 385,952.63 and 596,427.75

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Solution

The third proportional to 385,952.63 and 596,427.75 is: 921,683.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,952.63 : 596,427.75 = 596,427.75 : x
  2. Step 2: Convert to fraction form
    385,952.63/596,427.75 = 596,427.75/x
  3. Step 3: Cross multiply
    385,952.63x = 596,427.75 × 596,427.75
  4. Step 4: Simplify right side
    385,952.63x = 355,726,060,970.06
  5. Step 5: Solve for x
    x = 355,726,060,970.06/385,952.63
  6. Step 6: Final answer
    x = 921,683.23

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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.