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Finding the Third Proportional to 304,366.50 and 473,127

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Solution

The third proportional to 304,366.50 and 473,127 is: 735,459.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,366.50 : 473,127 = 473,127 : x
  2. Step 2: Convert to fraction form
    304,366.50/473,127 = 473,127/x
  3. Step 3: Cross multiply
    304,366.50x = 473,127 × 473,127
  4. Step 4: Simplify right side
    304,366.50x = 223,849,158,129
  5. Step 5: Solve for x
    x = 223,849,158,129/304,366.50
  6. Step 6: Final answer
    x = 735,459.25

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Why These Related Problems?

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