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Finding the Third Proportional to 427,970 and 572,547

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Solution

The third proportional to 427,970 and 572,547 is: 765,965.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,970 : 572,547 = 572,547 : x
  2. Step 2: Convert to fraction form
    427,970/572,547 = 572,547/x
  3. Step 3: Cross multiply
    427,970x = 572,547 × 572,547
  4. Step 4: Simplify right side
    427,970x = 327,810,067,209
  5. Step 5: Solve for x
    x = 327,810,067,209/427,970
  6. Step 6: Final answer
    x = 765,965.06

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.