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Finding the Third Proportional to 242,127 and 562,657.50

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Solution

The third proportional to 242,127 and 562,657.50 is: 1,307,509.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,127 : 562,657.50 = 562,657.50 : x
  2. Step 2: Convert to fraction form
    242,127/562,657.50 = 562,657.50/x
  3. Step 3: Cross multiply
    242,127x = 562,657.50 × 562,657.50
  4. Step 4: Simplify right side
    242,127x = 316,583,462,306.25
  5. Step 5: Solve for x
    x = 316,583,462,306.25/242,127
  6. Step 6: Final answer
    x = 1,307,509.95

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.