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Finding the Third Proportional to 321,659 and 473,130.50

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Solution

The third proportional to 321,659 and 473,130.50 is: 695,931.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,659 : 473,130.50 = 473,130.50 : x
  2. Step 2: Convert to fraction form
    321,659/473,130.50 = 473,130.50/x
  3. Step 3: Cross multiply
    321,659x = 473,130.50 × 473,130.50
  4. Step 4: Simplify right side
    321,659x = 223,852,470,030.25
  5. Step 5: Solve for x
    x = 223,852,470,030.25/321,659
  6. Step 6: Final answer
    x = 695,931.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.