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Finding the Third Proportional to 473,590 and 724,482

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Solution

The third proportional to 473,590 and 724,482 is: 1,108,288.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,590 : 724,482 = 724,482 : x
  2. Step 2: Convert to fraction form
    473,590/724,482 = 724,482/x
  3. Step 3: Cross multiply
    473,590x = 724,482 × 724,482
  4. Step 4: Simplify right side
    473,590x = 524,874,168,324
  5. Step 5: Solve for x
    x = 524,874,168,324/473,590
  6. Step 6: Final answer
    x = 1,108,288.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.