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Finding the Third Proportional to 346,838,681 and 507,235,003

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Solution

The third proportional to 346,838,681 and 507,235,003 is: 741,806,962.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,838,681 : 507,235,003 = 507,235,003 : x
  2. Step 2: Convert to fraction form
    346,838,681/507,235,003 = 507,235,003/x
  3. Step 3: Cross multiply
    346,838,681x = 507,235,003 × 507,235,003
  4. Step 4: Simplify right side
    346,838,681x = 257,287,348,268,410,016
  5. Step 5: Solve for x
    x = 257,287,348,268,410,016/346,838,681
  6. Step 6: Final answer
    x = 741,806,962.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.