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Finding the Third Proportional to 473,035.50 and 715,207.50

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Solution

The third proportional to 473,035.50 and 715,207.50 is: 1,081,360.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,035.50 : 715,207.50 = 715,207.50 : x
  2. Step 2: Convert to fraction form
    473,035.50/715,207.50 = 715,207.50/x
  3. Step 3: Cross multiply
    473,035.50x = 715,207.50 × 715,207.50
  4. Step 4: Simplify right side
    473,035.50x = 511,521,768,056.25
  5. Step 5: Solve for x
    x = 511,521,768,056.25/473,035.50
  6. Step 6: Final answer
    x = 1,081,360.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.