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Finding the Third Proportional to 359,312 and 598,816

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Solution

The third proportional to 359,312 and 598,816 is: 997,964.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,312 : 598,816 = 598,816 : x
  2. Step 2: Convert to fraction form
    359,312/598,816 = 598,816/x
  3. Step 3: Cross multiply
    359,312x = 598,816 × 598,816
  4. Step 4: Simplify right side
    359,312x = 358,580,601,856
  5. Step 5: Solve for x
    x = 358,580,601,856/359,312
  6. Step 6: Final answer
    x = 997,964.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.