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Finding the Third Proportional to 456,328.50 and 709,386

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Solution

The third proportional to 456,328.50 and 709,386 is: 1,102,776.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,328.50 : 709,386 = 709,386 : x
  2. Step 2: Convert to fraction form
    456,328.50/709,386 = 709,386/x
  3. Step 3: Cross multiply
    456,328.50x = 709,386 × 709,386
  4. Step 4: Simplify right side
    456,328.50x = 503,228,496,996
  5. Step 5: Solve for x
    x = 503,228,496,996/456,328.50
  6. Step 6: Final answer
    x = 1,102,776.83

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.