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Finding the Third Proportional to 245,417 and 360,045

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Solution

The third proportional to 245,417 and 360,045 is: 528,212.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,417 : 360,045 = 360,045 : x
  2. Step 2: Convert to fraction form
    245,417/360,045 = 360,045/x
  3. Step 3: Cross multiply
    245,417x = 360,045 × 360,045
  4. Step 4: Simplify right side
    245,417x = 129,632,402,025
  5. Step 5: Solve for x
    x = 129,632,402,025/245,417
  6. Step 6: Final answer
    x = 528,212.81

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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.