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Finding the Third Proportional to 249,501 and 545,658

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Solution

The third proportional to 249,501 and 545,658 is: 1,193,352.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,501 : 545,658 = 545,658 : x
  2. Step 2: Convert to fraction form
    249,501/545,658 = 545,658/x
  3. Step 3: Cross multiply
    249,501x = 545,658 × 545,658
  4. Step 4: Simplify right side
    249,501x = 297,742,652,964
  5. Step 5: Solve for x
    x = 297,742,652,964/249,501
  6. Step 6: Final answer
    x = 1,193,352.54

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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.