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Finding the Third Proportional to 210,312 and 459,472

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Solution

The third proportional to 210,312 and 459,472 is: 1,003,815.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,312 : 459,472 = 459,472 : x
  2. Step 2: Convert to fraction form
    210,312/459,472 = 459,472/x
  3. Step 3: Cross multiply
    210,312x = 459,472 × 459,472
  4. Step 4: Simplify right side
    210,312x = 211,114,518,784
  5. Step 5: Solve for x
    x = 211,114,518,784/210,312
  6. Step 6: Final answer
    x = 1,003,815.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.