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Finding the Third Proportional to 272,547 and 597,024

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Solution

The third proportional to 272,547 and 597,024 is: 1,307,802.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,547 : 597,024 = 597,024 : x
  2. Step 2: Convert to fraction form
    272,547/597,024 = 597,024/x
  3. Step 3: Cross multiply
    272,547x = 597,024 × 597,024
  4. Step 4: Simplify right side
    272,547x = 356,437,656,576
  5. Step 5: Solve for x
    x = 356,437,656,576/272,547
  6. Step 6: Final answer
    x = 1,307,802.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.