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Finding the Third Proportional to 413,008 and 607,416

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Solution

The third proportional to 413,008 and 607,416 is: 893,334.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,008 : 607,416 = 607,416 : x
  2. Step 2: Convert to fraction form
    413,008/607,416 = 607,416/x
  3. Step 3: Cross multiply
    413,008x = 607,416 × 607,416
  4. Step 4: Simplify right side
    413,008x = 368,954,197,056
  5. Step 5: Solve for x
    x = 368,954,197,056/413,008
  6. Step 6: Final answer
    x = 893,334.26

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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.