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Finding the Third Proportional to 249,051 and 550,432.50

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Solution

The third proportional to 249,051 and 550,432.50 is: 1,216,521.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,051 : 550,432.50 = 550,432.50 : x
  2. Step 2: Convert to fraction form
    249,051/550,432.50 = 550,432.50/x
  3. Step 3: Cross multiply
    249,051x = 550,432.50 × 550,432.50
  4. Step 4: Simplify right side
    249,051x = 302,975,937,056.25
  5. Step 5: Solve for x
    x = 302,975,937,056.25/249,051
  6. Step 6: Final answer
    x = 1,216,521.66

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.