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Finding the Third Proportional to 473,562 and 724,437

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Solution

The third proportional to 473,562 and 724,437 is: 1,108,215.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,562 : 724,437 = 724,437 : x
  2. Step 2: Convert to fraction form
    473,562/724,437 = 724,437/x
  3. Step 3: Cross multiply
    473,562x = 724,437 × 724,437
  4. Step 4: Simplify right side
    473,562x = 524,808,966,969
  5. Step 5: Solve for x
    x = 524,808,966,969/473,562
  6. Step 6: Final answer
    x = 1,108,215.96

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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.