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Finding the Third Proportional to 233,030.25 and 499,248

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Solution

The third proportional to 233,030.25 and 499,248 is: 1,069,597.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,030.25 : 499,248 = 499,248 : x
  2. Step 2: Convert to fraction form
    233,030.25/499,248 = 499,248/x
  3. Step 3: Cross multiply
    233,030.25x = 499,248 × 499,248
  4. Step 4: Simplify right side
    233,030.25x = 249,248,565,504
  5. Step 5: Solve for x
    x = 249,248,565,504/233,030.25
  6. Step 6: Final answer
    x = 1,069,597.47

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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.