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Finding the Third Proportional to 302,448 and 456,103.50

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Solution

The third proportional to 302,448 and 456,103.50 is: 687,822.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,448 : 456,103.50 = 456,103.50 : x
  2. Step 2: Convert to fraction form
    302,448/456,103.50 = 456,103.50/x
  3. Step 3: Cross multiply
    302,448x = 456,103.50 × 456,103.50
  4. Step 4: Simplify right side
    302,448x = 208,030,402,712.25
  5. Step 5: Solve for x
    x = 208,030,402,712.25/302,448
  6. Step 6: Final answer
    x = 687,822.05

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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.