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Finding the Third Proportional to 407,017 and 598,332.50

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Solution

The third proportional to 407,017 and 598,332.50 is: 879,574.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,017 : 598,332.50 = 598,332.50 : x
  2. Step 2: Convert to fraction form
    407,017/598,332.50 = 598,332.50/x
  3. Step 3: Cross multiply
    407,017x = 598,332.50 × 598,332.50
  4. Step 4: Simplify right side
    407,017x = 358,001,780,556.25
  5. Step 5: Solve for x
    x = 358,001,780,556.25/407,017
  6. Step 6: Final answer
    x = 879,574.52

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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.