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Finding the Third Proportional to 473,488.50 and 710,781

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Solution

The third proportional to 473,488.50 and 710,781 is: 1,066,994.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,488.50 : 710,781 = 710,781 : x
  2. Step 2: Convert to fraction form
    473,488.50/710,781 = 710,781/x
  3. Step 3: Cross multiply
    473,488.50x = 710,781 × 710,781
  4. Step 4: Simplify right side
    473,488.50x = 505,209,629,961
  5. Step 5: Solve for x
    x = 505,209,629,961/473,488.50
  6. Step 6: Final answer
    x = 1,066,994.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.