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Finding the Third Proportional to 473,103 and 714,577.50

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Solution

The third proportional to 473,103 and 714,577.50 is: 1,079,301.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,103 : 714,577.50 = 714,577.50 : x
  2. Step 2: Convert to fraction form
    473,103/714,577.50 = 714,577.50/x
  3. Step 3: Cross multiply
    473,103x = 714,577.50 × 714,577.50
  4. Step 4: Simplify right side
    473,103x = 510,621,003,506.25
  5. Step 5: Solve for x
    x = 510,621,003,506.25/473,103
  6. Step 6: Final answer
    x = 1,079,301.98

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