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Finding the Third Proportional to 299,547 and 651,582

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Solution

The third proportional to 299,547 and 651,582 is: 1,417,337.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,547 : 651,582 = 651,582 : x
  2. Step 2: Convert to fraction form
    299,547/651,582 = 651,582/x
  3. Step 3: Cross multiply
    299,547x = 651,582 × 651,582
  4. Step 4: Simplify right side
    299,547x = 424,559,102,724
  5. Step 5: Solve for x
    x = 424,559,102,724/299,547
  6. Step 6: Final answer
    x = 1,417,337.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.