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Finding the Third Proportional to 233,312 and 499,778

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Solution

The third proportional to 233,312 and 499,778 is: 1,070,575.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,312 : 499,778 = 499,778 : x
  2. Step 2: Convert to fraction form
    233,312/499,778 = 499,778/x
  3. Step 3: Cross multiply
    233,312x = 499,778 × 499,778
  4. Step 4: Simplify right side
    233,312x = 249,778,049,284
  5. Step 5: Solve for x
    x = 249,778,049,284/233,312
  6. Step 6: Final answer
    x = 1,070,575.24

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Why These Related Problems?

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