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Finding the Third Proportional to 249,178 and 584,985

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Solution

The third proportional to 249,178 and 584,985 is: 1,373,345.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,178 : 584,985 = 584,985 : x
  2. Step 2: Convert to fraction form
    249,178/584,985 = 584,985/x
  3. Step 3: Cross multiply
    249,178x = 584,985 × 584,985
  4. Step 4: Simplify right side
    249,178x = 342,207,450,225
  5. Step 5: Solve for x
    x = 342,207,450,225/249,178
  6. Step 6: Final answer
    x = 1,373,345.36

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.