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Finding the Third Proportional to 358,956 and 555,742.50

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Solution

The third proportional to 358,956 and 555,742.50 is: 860,411.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,956 : 555,742.50 = 555,742.50 : x
  2. Step 2: Convert to fraction form
    358,956/555,742.50 = 555,742.50/x
  3. Step 3: Cross multiply
    358,956x = 555,742.50 × 555,742.50
  4. Step 4: Simplify right side
    358,956x = 308,849,726,306.25
  5. Step 5: Solve for x
    x = 308,849,726,306.25/358,956
  6. Step 6: Final answer
    x = 860,411.10

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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.