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Finding the Third Proportional to 385,014.50 and 592,557

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Solution

The third proportional to 385,014.50 and 592,557 is: 911,975.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,014.50 : 592,557 = 592,557 : x
  2. Step 2: Convert to fraction form
    385,014.50/592,557 = 592,557/x
  3. Step 3: Cross multiply
    385,014.50x = 592,557 × 592,557
  4. Step 4: Simplify right side
    385,014.50x = 351,123,798,249
  5. Step 5: Solve for x
    x = 351,123,798,249/385,014.50
  6. Step 6: Final answer
    x = 911,975.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.