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Finding the Third Proportional to 572,564 and 777,607.50

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Solution

The third proportional to 572,564 and 777,607.50 is: 1,056,080.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,564 : 777,607.50 = 777,607.50 : x
  2. Step 2: Convert to fraction form
    572,564/777,607.50 = 777,607.50/x
  3. Step 3: Cross multiply
    572,564x = 777,607.50 × 777,607.50
  4. Step 4: Simplify right side
    572,564x = 604,673,424,056.25
  5. Step 5: Solve for x
    x = 604,673,424,056.25/572,564
  6. Step 6: Final answer
    x = 1,056,080.06

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.