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Finding the Third Proportional to 385,038 and 592,593

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Solution

The third proportional to 385,038 and 592,593 is: 912,030.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,038 : 592,593 = 592,593 : x
  2. Step 2: Convert to fraction form
    385,038/592,593 = 592,593/x
  3. Step 3: Cross multiply
    385,038x = 592,593 × 592,593
  4. Step 4: Simplify right side
    385,038x = 351,166,463,649
  5. Step 5: Solve for x
    x = 351,166,463,649/385,038
  6. Step 6: Final answer
    x = 912,030.67

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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.