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Finding the Third Proportional to 563,033 and 872,547

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Solution

The third proportional to 563,033 and 872,547 is: 1,352,208.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,033 : 872,547 = 872,547 : x
  2. Step 2: Convert to fraction form
    563,033/872,547 = 872,547/x
  3. Step 3: Cross multiply
    563,033x = 872,547 × 872,547
  4. Step 4: Simplify right side
    563,033x = 761,338,267,209
  5. Step 5: Solve for x
    x = 761,338,267,209/563,033
  6. Step 6: Final answer
    x = 1,352,208.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.