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Finding the Third Proportional to 249,564 and 545,784

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Solution

The third proportional to 249,564 and 545,784 is: 1,193,602.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,564 : 545,784 = 545,784 : x
  2. Step 2: Convert to fraction form
    249,564/545,784 = 545,784/x
  3. Step 3: Cross multiply
    249,564x = 545,784 × 545,784
  4. Step 4: Simplify right side
    249,564x = 297,880,174,656
  5. Step 5: Solve for x
    x = 297,880,174,656/249,564
  6. Step 6: Final answer
    x = 1,193,602.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.