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Finding the Third Proportional to 249,784 and 374,683

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Solution

The third proportional to 249,784 and 374,683 is: 562,035.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,784 : 374,683 = 374,683 : x
  2. Step 2: Convert to fraction form
    249,784/374,683 = 374,683/x
  3. Step 3: Cross multiply
    249,784x = 374,683 × 374,683
  4. Step 4: Simplify right side
    249,784x = 140,387,350,489
  5. Step 5: Solve for x
    x = 140,387,350,489/249,784
  6. Step 6: Final answer
    x = 562,035.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.