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Finding the Third Proportional to 249,482.25 and 601,484.63

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Solution

The third proportional to 249,482.25 and 601,484.63 is: 1,450,138.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,482.25 : 601,484.63 = 601,484.63 : x
  2. Step 2: Convert to fraction form
    249,482.25/601,484.63 = 601,484.63/x
  3. Step 3: Cross multiply
    249,482.25x = 601,484.63 × 601,484.63
  4. Step 4: Simplify right side
    249,482.25x = 361,783,754,111.39
  5. Step 5: Solve for x
    x = 361,783,754,111.39/249,482.25
  6. Step 6: Final answer
    x = 1,450,138.25

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.