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Finding the Third Proportional to 407,031 and 598,359

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Solution

The third proportional to 407,031 and 598,359 is: 879,622.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,031 : 598,359 = 598,359 : x
  2. Step 2: Convert to fraction form
    407,031/598,359 = 598,359/x
  3. Step 3: Cross multiply
    407,031x = 598,359 × 598,359
  4. Step 4: Simplify right side
    407,031x = 358,033,492,881
  5. Step 5: Solve for x
    x = 358,033,492,881/407,031
  6. Step 6: Final answer
    x = 879,622.17

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