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Finding the Third Proportional to 473,526 and 724,383

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Solution

The third proportional to 473,526 and 724,383 is: 1,108,134.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,526 : 724,383 = 724,383 : x
  2. Step 2: Convert to fraction form
    473,526/724,383 = 724,383/x
  3. Step 3: Cross multiply
    473,526x = 724,383 × 724,383
  4. Step 4: Simplify right side
    473,526x = 524,730,730,689
  5. Step 5: Solve for x
    x = 524,730,730,689/473,526
  6. Step 6: Final answer
    x = 1,108,134.99

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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.