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Finding the Third Proportional to 302,398.50 and 455,937

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Solution

The third proportional to 302,398.50 and 455,937 is: 687,432.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,398.50 : 455,937 = 455,937 : x
  2. Step 2: Convert to fraction form
    302,398.50/455,937 = 455,937/x
  3. Step 3: Cross multiply
    302,398.50x = 455,937 × 455,937
  4. Step 4: Simplify right side
    302,398.50x = 207,878,547,969
  5. Step 5: Solve for x
    x = 207,878,547,969/302,398.50
  6. Step 6: Final answer
    x = 687,432.47

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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.