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Finding the Third Proportional to 302,724 and 648,913.50

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Solution

The third proportional to 302,724 and 648,913.50 is: 1,390,998.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,724 : 648,913.50 = 648,913.50 : x
  2. Step 2: Convert to fraction form
    302,724/648,913.50 = 648,913.50/x
  3. Step 3: Cross multiply
    302,724x = 648,913.50 × 648,913.50
  4. Step 4: Simplify right side
    302,724x = 421,088,730,482.25
  5. Step 5: Solve for x
    x = 421,088,730,482.25/302,724
  6. Step 6: Final answer
    x = 1,390,998.83

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.