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Finding the Third Proportional to 562,629 and 803,984.25

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Solution

The third proportional to 562,629 and 803,984.25 is: 1,148,875.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,629 : 803,984.25 = 803,984.25 : x
  2. Step 2: Convert to fraction form
    562,629/803,984.25 = 803,984.25/x
  3. Step 3: Cross multiply
    562,629x = 803,984.25 × 803,984.25
  4. Step 4: Simplify right side
    562,629x = 646,390,674,248.06
  5. Step 5: Solve for x
    x = 646,390,674,248.06/562,629
  6. Step 6: Final answer
    x = 1,148,875.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.