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Finding the Third Proportional to 249,424.79 and 380,365.00

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Solution

The third proportional to 249,424.79 and 380,365.00 is: 580,044.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,424.79 : 380,365.00 = 380,365.00 : x
  2. Step 2: Convert to fraction form
    249,424.79/380,365.00 = 380,365.00/x
  3. Step 3: Cross multiply
    249,424.79x = 380,365.00 × 380,365.00
  4. Step 4: Simplify right side
    249,424.79x = 144,677,536,939.51
  5. Step 5: Solve for x
    x = 144,677,536,939.51/249,424.79
  6. Step 6: Final answer
    x = 580,044.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.