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Finding the Third Proportional to 385,034 and 592,587

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Solution

The third proportional to 385,034 and 592,587 is: 912,021.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,034 : 592,587 = 592,587 : x
  2. Step 2: Convert to fraction form
    385,034/592,587 = 592,587/x
  3. Step 3: Cross multiply
    385,034x = 592,587 × 592,587
  4. Step 4: Simplify right side
    385,034x = 351,159,352,569
  5. Step 5: Solve for x
    x = 351,159,352,569/385,034
  6. Step 6: Final answer
    x = 912,021.67

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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.