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Finding the Third Proportional to 292,547 and 436,890

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Solution

The third proportional to 292,547 and 436,890 is: 652,451.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,547 : 436,890 = 436,890 : x
  2. Step 2: Convert to fraction form
    292,547/436,890 = 436,890/x
  3. Step 3: Cross multiply
    292,547x = 436,890 × 436,890
  4. Step 4: Simplify right side
    292,547x = 190,872,872,100
  5. Step 5: Solve for x
    x = 190,872,872,100/292,547
  6. Step 6: Final answer
    x = 652,451.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.