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Finding the Third Proportional to 411,547.50 and 618,417

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Solution

The third proportional to 411,547.50 and 618,417 is: 929,272.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,547.50 : 618,417 = 618,417 : x
  2. Step 2: Convert to fraction form
    411,547.50/618,417 = 618,417/x
  3. Step 3: Cross multiply
    411,547.50x = 618,417 × 618,417
  4. Step 4: Simplify right side
    411,547.50x = 382,439,585,889
  5. Step 5: Solve for x
    x = 382,439,585,889/411,547.50
  6. Step 6: Final answer
    x = 929,272.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.