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Finding the Third Proportional to 407,033 and 598,362

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Solution

The third proportional to 407,033 and 598,362 is: 879,626.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,033 : 598,362 = 598,362 : x
  2. Step 2: Convert to fraction form
    407,033/598,362 = 598,362/x
  3. Step 3: Cross multiply
    407,033x = 598,362 × 598,362
  4. Step 4: Simplify right side
    407,033x = 358,037,083,044
  5. Step 5: Solve for x
    x = 358,037,083,044/407,033
  6. Step 6: Final answer
    x = 879,626.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.