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Finding the Third Proportional to 228,937.50 and 497,264.06

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Solution

The third proportional to 228,937.50 and 497,264.06 is: 1,080,083.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,937.50 : 497,264.06 = 497,264.06 : x
  2. Step 2: Convert to fraction form
    228,937.50/497,264.06 = 497,264.06/x
  3. Step 3: Cross multiply
    228,937.50x = 497,264.06 × 497,264.06
  4. Step 4: Simplify right side
    228,937.50x = 247,271,547,854.00
  5. Step 5: Solve for x
    x = 247,271,547,854.00/228,937.50
  6. Step 6: Final answer
    x = 1,080,083.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.