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Finding the Third Proportional to 289,184 and 432,240

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Solution

The third proportional to 289,184 and 432,240 is: 646,064.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,184 : 432,240 = 432,240 : x
  2. Step 2: Convert to fraction form
    289,184/432,240 = 432,240/x
  3. Step 3: Cross multiply
    289,184x = 432,240 × 432,240
  4. Step 4: Simplify right side
    289,184x = 186,831,417,600
  5. Step 5: Solve for x
    x = 186,831,417,600/289,184
  6. Step 6: Final answer
    x = 646,064.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.