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Finding the Third Proportional to 514,720.50 and 742,547.25

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Solution

The third proportional to 514,720.50 and 742,547.25 is: 1,071,215.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,720.50 : 742,547.25 = 742,547.25 : x
  2. Step 2: Convert to fraction form
    514,720.50/742,547.25 = 742,547.25/x
  3. Step 3: Cross multiply
    514,720.50x = 742,547.25 × 742,547.25
  4. Step 4: Simplify right side
    514,720.50x = 551,376,418,482.56
  5. Step 5: Solve for x
    x = 551,376,418,482.56/514,720.50
  6. Step 6: Final answer
    x = 1,071,215.19

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.