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Finding the Third Proportional to 249,172 and 584,970

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Solution

The third proportional to 249,172 and 584,970 is: 1,373,308.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,172 : 584,970 = 584,970 : x
  2. Step 2: Convert to fraction form
    249,172/584,970 = 584,970/x
  3. Step 3: Cross multiply
    249,172x = 584,970 × 584,970
  4. Step 4: Simplify right side
    249,172x = 342,189,900,900
  5. Step 5: Solve for x
    x = 342,189,900,900/249,172
  6. Step 6: Final answer
    x = 1,373,308.00

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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.